# How do you find the sum of the infinite geometric series 8+4+2+...?

It is $16$

#### Explanation:

The sum is

$S = {a}_{1} / \left(1 - r\right)$ where ${a}_{1}$ is the first term and $r$ the ratio so we have

$S = \frac{8}{1 - \frac{1}{2}} = 16$

We can use the formula above because is $\left\mid r \right\mid = \frac{1}{2} < 1$