Find three consecutive odd integers such that the sum of one times the first, three times the second, and two times the third is -172. List the numbers in order from smallest to largest.

Question

really need help on this i'm getting -31.33 but im not sure if that correct for the first number

Answer 1

Consecutive odd integers are separated by 2, so the integers are

n (1st)

n + 2 (2nd)

n + 4 (3rd)

n + 3(n + 2) + 2(n + 4) = -172

6n + 14 = -172

n = -31

n + 2 = -29

n + 4 = -27

Test the answers.