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

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Answer 1 · 2015-09-27T19:52:21

$n + (n + 1) + (n + 2) = - 114$ $n + (n+1) + (n+2) = -114$ . Any pair of consecutive integers can be represented by $n$ $n$ and $n + 1$ $n+1$ , etc.

So $3 n + 3 = - 114$ $3n + 3 = -114$ . And $3 n = - 111$ $3n = -111$ .

$3 n = - 111$ $3n = -111$

$n = - 37$ $n = -37$

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