# ?How do you find the sum of the infinite geometric series #1 - x + x^2 - x^3 + x^4 ...#?

##### 1 Answer

Apr 15, 2018

See explanation.

#### Explanation:

A geometric series is convergent if and only if its common ratio is between

#S=a_1/(1-q)#

So in the given task we have:

According to the given condition we can say that:

If