Question

The sum of an integer and seven times next consecutive odd integers -26 find the value of the lesser integer

Answer 1

-5

Explanation:

Let n = an integer

Let (n+2) = the next consecutive odd integer

n + 7( n + 2) = -26 Distribute the 7

n + 7n + 7(2) = -26

n + 7n + 14 = -26 Combine like terms

8n +14 = -26 Subtract 14 from both sides

8n + 14 - 14 = -26 -14

8n = -40 Divide both sides by 8

n = -5

The next consecutive odd integer would be -3

Consecutive just means the next number.