# What is the sum of the infinite geometric series 2+2/3+2/9+2/27+...?

##### 1 Answer

Jun 22, 2016

#### Explanation:

a geometric series can be defined as:

The common ratio is

You can only sum an infinite geometric series if it is <b>convergent</b>, that is, that it converges to one value. A series is convergent if

The equation to sum an infinite series is: