{"id":2297,"date":"2022-04-27T11:17:24","date_gmt":"2022-04-27T11:17:24","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2297"},"modified":"2023-04-03T05:25:16","modified_gmt":"2023-04-03T05:25:16","slug":"number-patterns-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns","title":{"rendered":"Number Patterns &#8211; Definition With Example"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-582eb8b7-5b70-4bee-9b4f-2882e7757e9f\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns#0-what-is-a-number-pattern>What Is a Number Pattern?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns#3-math-number-patterns-types>Math Number Patterns Types<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns#11-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns#12-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns#13-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\" eplus-wrapper\">\u201cMemorize the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" target=\"_blank\" rel=\"noopener\" title=\"\">multiplication<\/a> tables from 1 to 10. I shall ask questions tomorrow,\u201d the math teacher announced. Anya was relieved because she already knew the multiplication tables.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">She began writing them down in her notepad after brushing up on her tables. Suddenly, Anya noticed something unexpected. The multiples in the multiplication table generated a number series that followed a specific <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pattern\" target=\"_blank\" rel=\"noopener\" title=\"\">pattern<\/a>.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, <strong>in the table of 2, its multiples 2, 4, 6, 8, 10<\/strong> . . . form a number pattern where the next number is obtained by adding 2 to the preceding one. Anya discovered a similar sequence in the multiplication table for all numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"525\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-1.png\" alt=\"Multiplication table of 2 as an example of a number pattern\" class=\"wp-image-20701\" title=\"Multiplication table of 2 as an example of a number pattern\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-1-300x254.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"466\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-2.png\" alt=\"Number pattern formed by adding 2 in the previous number\" class=\"wp-image-20702\" title=\"Number pattern formed by adding 2 in the previous number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-2.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-2-300x225.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">What is this wonder of numbers? What are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns\" target=\"_blank\" rel=\"noopener\" title=\"\">number patterns<\/a>? Let&#8217;s find out!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-number-pattern\">What Is a Number Pattern?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">We\u2019ve seen that the multiples of a number <em>n<\/em> exhibit a pattern where you\u2019ll get the next number in the series by adding $n$ to the last number. Such a sequence found in a number series is a number pattern.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-number-patterns-examples-with-answers-\"><strong>Number Patterns: Examples with Answers<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">The common example for number patterns is multiplication tables. For instance, in the table of 8, we get the next number in the series by continuously adding 8 to the last number. So, we get a number sequence\/pattern: 8, 16, 24, 32, 40, 48\u2026&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"439\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-4.png\" alt=\"Number pattern example\" class=\"wp-image-20704\" title=\"Number pattern example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-4.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-4-300x212.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: <\/strong>Find the following number in the number patterns 7, 14, 21, 28, 35&#8230;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>Multiples of 7 form the given sequence. Here, the difference between two <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/consecutive-numbers\" target=\"_blank\" rel=\"noopener\" title=\"\">consecutive numbers<\/a> is 7. So, the next number will be $35 + 7 = 42$.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"2-counting-and-number-patterns-\"><strong>Counting and Number Patterns<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">We get multiples by counting numbers in a particular pattern. We\u2019ll get multiples of <em>n <\/em>by counting in a pattern of <em>n<\/em>. Let\u2019s understand it with an example.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: <\/strong>Write the first five multiples of 4 by counting numbers in a pattern of 4.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> By counting numbers in the pattern of 4, we get&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">4, 8, 12\u202616\u202620.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"398\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-5.png\" alt=\"Number pattern formed by multiples of 4\" class=\"wp-image-20705\" title=\"Number pattern formed by multiples of 4\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-5-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">10 and 100 More than the Same 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src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-math-number-patterns-types\">Math Number Patterns Types<\/h2>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-arithmetic-number-patterns-\"><strong>Arithmetic Number Patterns<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/arithmetic-patterns\" target=\"_blank\" rel=\"noopener\" title=\"\">Arithmetic number series<\/a> is the most common number pattern. Here, we get the following number in the sequence by adding\/subtracting a constant to\/from the previous number.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">This constant, or the difference between two consecutive numbers in an arithmetic number pattern, is a common difference.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">All multiplication tables are arithmetic number patterns. For instance, in the sequences 9, 18, 27, 36, 45, 54 \u2026 the common difference is 9. We get the following number by continuously adding 9 to the last number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-6.png\" alt=\"Example of arithmetic number pattern\" class=\"wp-image-20706\" title=\"Example of arithmetic number pattern\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-6-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-geometric-number-patterns-\"><strong>Geometric Number Patterns<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\"><strong>In geometric number patterns, we get the next number in the series by multiplying or dividing a constant to\/from the previous number<\/strong>. This constant, or the ratio of two consecutive numbers, is called the common ratio.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">An example of a geometric number pattern is 3, 6, 12, 24, 48, 96\u2026 Here, the common ratio is 2, and we get the following number in the sequence by continuously multiplying two by the last number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"386\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-7.png\" alt=\"Geometric number pattern example\" class=\"wp-image-20707\" title=\"Geometric number pattern example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-7.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-7-300x186.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"6-square-number-pattern-\"><strong>Square Number Pattern<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">A square number pattern is a series of square numbers. When we multiply a number by itself, we get the square of that number. Square numbers are, therefore, squares of any number.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">An example of a square number pattern is 1, 4, 9, 16, 25, 36\u2026 Here, the squares of consecutive numbers from 1 to 6 form the number pattern.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"7-cube-number-pattern-\"><strong>Cube Number Pattern<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">Similar to a square number pattern, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cube\" target=\"_blank\" rel=\"noopener\" title=\"\">cube<\/a> number pattern is a series of cubes. We get cubes when we multiply a number by itself thrice.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">An example of a <strong>cube number pattern is 1, 8, 27, 64, 125, 216<\/strong>\u2026 Here, the cubes of consecutive numbers from 1 to 6 form the sequence.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"8-triangular-number-pattern-\"><strong>Triangular Number Pattern<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">A triangular number pattern is a type of dot pattern where we create a number series representing the number of dots required to form <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">equilateral triangles<\/a>. Here, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/side\" target=\"_blank\" rel=\"noopener\" title=\"\">sides<\/a> of the triangles will have the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/same-number\" target=\"_blank\" rel=\"noopener\" title=\"\">same number<\/a> of dots.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-8.png\" alt=\"Triangular number pattern\" class=\"wp-image-20708\" title=\"Triangular number pattern\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-8-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78\u2026 is a triangular number pattern. If we examine the pattern, we can say that the nth number in the triangular number pattern is the sum of all numbers from 1 to n. That is, the 6th number in the triangular pattern is the sum of all numbers from 1 to 6, i.e., $1 + 2 + 3 + 4 + 5 + 6$ or $21$.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the formula for the nth number in a triangular series starting from 1 is $[n \\times (n+1)] \\div 2$. For instance, the 6th number in the pattern will be $[6 \\times (6 + 1)] \\div 2 = 21$.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"9-fibonacci-number-pattern-\"><strong>Fibonacci Number Pattern<\/strong><\/h3>\n\n\n\n<p class=\" eplus-wrapper\">The Fibonacci number pattern is a series of Fibonacci numbers. Starting with 0 and 1, the next number in the Fibonacci series is the sum of the last two numbers.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fibonacci-sequence\" target=\"_blank\" rel=\"noopener\" title=\"\">Fibonnaci series<\/a> is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34\u2026<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here, (say) the 8th number, 13, is the sum of the 6th number 5 and 7th number 8. So, the nth number in the Fibonacci series is the sum of (n-2)th and (n-1)th number.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-more-using-dice-patterns\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-more-using-dice-patterns.jpeg\" alt=\"10 more Using Dice Patterns\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div 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});\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-number-patterns-and-sequences-facts\">Number Patterns and Sequences Facts<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The number of elements in a number pattern is endless. By applying the rule, you can continue the sequence endlessly.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">A simple number pattern has only one rule. However, a complex number pattern has more than one rule. For instance, the pattern 3, 4, 6, 8, 9, 12, 12, and 16 \u2026 has two rules. The alternate numbers from 3 are multiples of 3, and the alternate numbers from 4 are the multiples of 4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"398\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-9.png\" alt=\"A number pattern with two rules\" class=\"wp-image-20709\" title=\"A number pattern with two rules\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-9-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The rule of a number pattern can form a number pattern. For instance, if you <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" target=\"_blank\" rel=\"noopener\" title=\"\">subtract<\/a> the consecutive terms in the pattern 1, 2, 5, 10, 17, 26, \u2026, and make a series, we get 1, 3, 5, 7, 9, \u2026<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-10.png\" alt=\"Number pattern formed by a rule of a number pattern\" class=\"wp-image-20711\" title=\"Number pattern formed by a rule of a number pattern\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/01\/What-is-Number-Patterns-10-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. What is the missing value in the sequences 5, 10, 15, __, 25, 30, \u2026?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>In the pattern, we get the next number by adding 5 to the previous number. So, the missing <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/value\" target=\"_blank\" rel=\"noopener\" title=\"\">value<\/a> is $15 + 5 = 20$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. What is the following number in the number pattern 3, 9, 27, 81, \u2026?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>In the pattern, the ratio of two consecutive numbers is 3. So, the following number is $81 \\times 3 = 243$.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>3. Consider the sequence 1, 3, 6, 10, 15, 21, 28\u2026 What is the 20th value in this number pattern?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> This is a triangular number pattern. So, the 20th value is $[n \\times (n+1)] \\div 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= [20 \\times (20 + 1)] \\div 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 210$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Number Patterns - Definition With Example<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The next number in the series 1, 8, 27, 64, 125, \u2026 is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">250<\/div><div class=\"spq_answer_block\" data-value=\"1\">216<\/div><div class=\"spq_answer_block\" data-value=\"2\">270<\/div><div class=\"spq_answer_block\" data-value=\"3\">275<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 216<br\/>The series is a cube number pattern. So, the next number is $6\\text{^}3 = 216$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the next number in the series 1, 8, 9, 64, 25, 216, \u2026<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">36<\/div><div class=\"spq_answer_block\" data-value=\"1\">49<\/div><div class=\"spq_answer_block\" data-value=\"2\">343<\/div><div class=\"spq_answer_block\" data-value=\"3\">64<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 49<br\/>We can rewrite the series as $1\\text{^}2, 2\\text{^}3, 3\\text{^}2, 4\\text{^}3, 5\\text{^}2, 6\\text{^}3$, \u2026 So, the next number would be $7\\text{^}2 = 49$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the following number in the series 1, 3, 7, 15, 31, __ ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">24<\/div><div class=\"spq_answer_block\" data-value=\"1\">42<\/div><div class=\"spq_answer_block\" data-value=\"2\">63<\/div><div class=\"spq_answer_block\" data-value=\"3\">50<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 63<br\/>The rule of the series is $2n+1$. So, we can rewrite it as $1, [(2 \\times 1)+1], [(2 \\times 3)+1], [(2 \\times 7)+1], [(2 \\times 15)+1]$\u2026 So, the next number would be $[(2 \\times 31)+1] = 63$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Number Patterns - Definition With Example\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Number Patterns - Definition With Example\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The next number in the series 1, 8, 27, 64, 125, \u2026 is:\",\n                    \"text\": \"The next number in the series 1, 8, 27, 64, 125, \u2026 is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"250\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"270\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"275\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"216\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The series is a cube number pattern. So, the next number is $$6\\\\text{^}3 = 216$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the next number in the series 1, 8, 9, 64, 25, 216, \u2026\",\n                    \"text\": \"What is the next number in the series 1, 8, 9, 64, 25, 216, \u2026\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"343\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"64\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"49\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We can rewrite the series as $$1\\\\text{^}2, 2\\\\text{^}3, 3\\\\text{^}2, 4\\\\text{^}3, 5\\\\text{^}2, 6\\\\text{^}3$$, \u2026 So, the next number would be $$7\\\\text{^}2 = 49$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the following number in the series 1, 3, 7, 15, 31, __ ?\",\n                    \"text\": \"What is the following number in the series 1, 3, 7, 15, 31, __ ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"42\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"63\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The rule of the series is $$2n+1$$. So, we can rewrite it as $$1, [(2 \\\\times 1)+1], [(2 \\\\times 3)+1], [(2 \\\\times 7)+1], [(2 \\\\times 15)+1]$$\u2026 So, the next number would be $$[(2 \\\\times 31)+1] = 63$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\"><strong>Does the series of natural numbers form a number pattern?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\">\n\n<p class=\" eplus-wrapper\">Yes. Natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, \u2026 form an arithmetic number pattern with common difference 1.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\"><strong>What is the common difference between the number patterns formed by the series of odd numbers and even numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\">\n\n<p class=\" eplus-wrapper\">The series of even numbers and odd numbers are arithmetic number patterns with common differences 2.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\"><strong>How to find number patterns?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\">\n\n<p class=\" eplus-wrapper\">To find number patterns, you must identify the sequence\u2019s rule(s) and its type. For instance, if the difference between two consecutive numbers of a series is the same, it is arithmetic.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\"><strong>What is a \u201crule\u201d in number patterns?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-e8480daf-fc35-4d90-b16c-2fdff84ac2a2\">\n\n<p class=\" eplus-wrapper\">All number patterns are a series of numbers following a specific rule. For instance, in the number patterns 6, 12, 18, 24, 30, \u2026, the rule is $<em>n<\/em> + 6$.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u201cMemorize the multiplication tables from 1 to 10. I shall ask questions tomorrow,\u201d the math teacher announced. Anya was relieved because she already knew the multiplication tables. She began writing them down in her notepad after brushing up on her tables. Suddenly, Anya noticed something unexpected. The multiples in the multiplication table generated a number &#8230; <a title=\"Number Patterns &#8211; Definition With Example\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number-patterns\" aria-label=\"More on Number Patterns &#8211; Definition With Example\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2297","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2297","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=2297"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2297\/revisions"}],"predecessor-version":[{"id":27065,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2297\/revisions\/27065"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2297"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2297"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2297"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}