Question

The sum of six consecutive integers is −9. What are the integers?

Answer 1

4, -3, -2, -1, 0, 1

Explanation:

since there are 6 consecutive integers, we can say create an equation:

n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) = -9

add like terms to get:

6n + 15 = -9

subtract 15 from both sides:

6n = -24

divide both sides by 6 and you get n:

n = -4

plug -4 into n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) to find all six integers:

-4 + (-4 + 1) + (-4 + 2) + (-4 + 3)+ (-4 + 4) + (-4 + 5)

simplify the parenthesis:

-4, -3, -2, -1, 0, 1

the sum of all of these number are -9