# How do you find the sum of the infinite geometric series -2 + -10 + -50 + -250 +…?

Nov 22, 2015

The infinite sum does not converge .

#### Explanation:

If $\left\mid r \right\mid \ge 1$, then the infinite sum will not exist.

In this problem, $\left\mid r \right\mid = \left\mid \frac{- 10}{-} 2 \right\mid = 5 > 1$

hope that helps