Find four consecutive integers whose sum is -2

Question

Find four consecutive integers whose sum is -2

Answer 1

1st integer: n

2nd integer: n + 1

3rd integer: n + 1 + 1

4th integer: n + 1 + 1 + 1

 

n + n + 1 + n + 2 + n + 3 = -2           Combine like terms

4n + 6 = -2                                          Subtract 6 from both sides

4n = -8                                                 Divide both sides by 4

n = -2

 

The integers are -2, -1, 0, -1

 

check:

 

-2 + (-1) + 0 + 1

-2