The document provides examples of consecutive integers, consecutive even integers, and consecutive odd integers. It then shows how to find two consecutive integers whose sum is 55, determining that the integers are 27 and 28. Finally, it demonstrates finding three consecutive odd integers whose sum is 57, identifying the integers as 17, 19, and 21.

1. | | | | | | | | | | | -5 -4 -3 -2 -1 0 1 2 3 4 5 Integers Consecutive Integers Consecutive Even Integers Consecutive Odd Integers -3, -2, -1, 0, 1, 2, 3 -4, -2, 0, 2, 4 -5, -3, -1, 1, 3, 5

2. Find two consecutive integers whose sum is 55 1st number + 2nd number = 55 n n + 1 n + (n + 1) = 55 2n + 1 = 55 -1 -1 2n = 54 2 2 n = 27 n + 1 = 28 27 and 28

3. Find three consecutive odd integers whose sum is 57. 1st odd number 2nd odd number 3rd odd number + + = 57 n n + 4 n + 2 17, 19, 21 Example 4-6a