# If m, x, n are in an arithmetic sequence, find the value of x?

Sep 25, 2017

$x = \frac{m + n}{2}$

#### Explanation:

AS the sequence $m , x , n$ is an arithmetic sequence, we have

$x - m = n - x$

or $2 x = m + n$

i.e. $x = \frac{m + n}{2}$