# The sum of three consecutive integers can be represented by?

Oct 13, 2015

If $n$ is the first of the three numbers, the formula is $3 n + 3$
Let's say that you start from the integer $n$. The three consecutive numbers are thus $n$, $n + 1$ and $n + 2$.
$n + \left(n + 1\right) + \left(n + 2\right) = n + n + n + 1 + 2 = 3 n + 3$