What is Consecutive Numbers?
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
For example:
1, 2, 3, 4, 5, 6, and so on are consecutive numbers.
Consecutive Even Numbers:
Even numbers are numbers that end with 0, 2, 4, 6 or 8. The examples of consecutive even numbers are:
Consecutive Odd Numbers:
Odd numbers are numbers that end with 1, 3, 5, 7 or 9. The examples of consecutive odd numbers are:
Consecutive Even and Odd Integers:
We can also have consecutive even and odd integers.
Example: Consecutive Even Integers: – 8, –6, –4, –2, 0, 2, 4, 6, .....
Example: Consecutive Odd Integers: –9, –7, –5, –3, –1, 1, 3, 5, 7, ....
Example: The sum of two consecutive numbers is 55. What are the numbers?
Here, let the first number be a. Since the numbers are consecutive, the other number will be a + 1
We now form an equation as per the given information:
Sum of the numbers = 55 = a + a + 1
We should choose the numbers such that their sum is 55.
26 is nearly half of 55.
Let the two number be 26 and 27;
26 + 27 = 53 ✘
So, the two numbers are not 26 and 27.
Let us choose the next number, 28. So, the two numbers are 27 and 28.
27 + 28 = 55 ✓
Example: The product of two consecutive odd numbers is 143. What are the numbers?
We should choose the numbers whose product is nearly 143.
We know that 12 × 12 = 144
But, 12 is an even number.
Consecutive odd numbers near 12 are 11 and 13.
Let us find their product; 11 × 13 = 143 ✓
Fun Facts
