Consecutive integers

Consecutive integers

Lessons

  • Introduction
    a)
    Introduction to Consecutive Integers


  • 1.
    The sum of two consecutive integers is 53. What are the integers?

  • 2.
    Four consecutive integers add to 42. What is the third of those numbers?

  • 3.
    Three consecutive odd integers total -21. What are the integers?

  • 4.
    The sum of three consecutive even integers is 96. What is the value of the largest integer?

  • 5.
    5 more than the sum of two consecutive odd integers is -35. What is the larger integer?

  • 6.
    Two times the sum of two consecutive odd integers is 64. What are the integers?

  • 7.
    When the larger of two consecutive integers is added to 3 times the smaller, the result is 29. What is the smaller number?

  • 8.
    When the smaller of two consecutive even integers is subtracted from 3 times the larger, the result is -82. What are the integers?

  • 9.
    Prove that the sum of five consecutive numbers are always a multiple of 5.

  • 10.
    Prove that the sum of two consecutive square numbers is always an odd number.