# What are three consecutive integers whose sum is -114?

$n + \left(n + 1\right) + \left(n + 2\right) = - 114$. Any pair of consecutive integers can be represented by $n$ and $n + 1$, etc.
So $3 n + 3 = - 114$. And $3 n = - 111$.
$3 n = - 111$
$n = - 37$