Solution: The numbers that follow each other in order are called as consecutive numbers. For every two numbers, they have a difference of 1 in between. Also, the mean and median of consecutive integers are equal.
Formula for consecutive numbers: n, n+1, n+2, n+3,... n is a number.
Examples of consecutive numbers: 1, 2, 3, 4, 5, 6,…
In other words, numbers that follow each other continuously in order from smallest to largest are called consecutive numbers.
Consecutive Odd Numbers:
Odd numbers are numbers that end with 1, 3, 5, 7 or 9.
Examples of consecutive odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23….
Check Consecutive Integers Formula
Consecutive Even and Odd Integers:
Example of Consecutive Even Integers: – 8, –6, –4, –2, 0, 2, 4, 6, …..
Example of Consecutive Odd Integers: –9, –7, –5, –3, –1, 1, 3, 5, 7, ….The term consecutive numbers are often used to frame word problems.
| Example 1: The sum of two consecutive numbers is 57. What are the numbers? Solution: Lets assume the first number be ‘n’. Since the numbers are consecutive, the other number will be n + 1 As per the question, the equation would be: Sum of the numbers => 57 = n + n + 1 We should choose the numbers such that their sum is equivalent to 57. By solving the above equation, we get: => 57 – 1 = 2n => 56 = 2n => 56/2 = n => 28 = n Therefore, the numbers are 28 and 29. |
| Example 2: The product of two consecutive odd numbers is 143. What are the numbers? Solution: We should choose the numbers whose product is nearly 143. As per the information and formula: We know that 12 × 12 = 144 But, 12 is an even number. So, the consecutive odd numbers near 12 are: 11 and 13. The product of 11 × 13 = 143 Therefore, the numbers are 11 and 13. |
| Fun Facts – The sum of any two consecutive numbers is always odd. Example, 3 + 4 = 7; –5 + (–4) = –9. |
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