# 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.