Consecutive Numbers

Definition of Consecutive Numbers

The integer numbers, one after the other, are known as Consecutive Numbers.

More About Consecutive Numbers

  • The difference between any two consecutive integers is 1.
  • Out of any two consecutive numbers, one must be even and one must be odd.

Video Examples: Algebra and Consecutive Numbers


Example of Consecutive Numbers

  • 19, 20, 21..are consecutive integers.
  • The consecutive odd numbers between 0 and 10 are 1, 3, 5, 7, and 9.

Solved Example on Consecutive Numbers

Ques: Find out the addition of consecutive even numbers between 15 and 25.

    Choices:
    A. 98
    B. 100
    C. 90
    D. 110
    Correct Answer: B

Solution:

    Step 1: Consecutive numbers are those that follow each other in an unbroken sequence.
    Step 2: Between 15 and 25, the even numbers are 16, 18, 20, 22, and 24. [Numbers which are divisible by 2 are called even numbers.]
    Step 3: Sum = 16 + 18 + 20 + 22 + 24
    Step 4: = 100
    Step 5: Hence, the addition of consecutive even numbers between 15 and 25 are 100.