# How do you find the sum of the infinite geometric series 8 - 4 + 2 - 1 + 1/2 -...?

##### 1 Answer

May 27, 2016

#### Explanation:

A geometric series is a series of the form

Given a convergent geometric series, that is, a geometric series with

(see the above link for a derivation of this formula)

In the given sum, the common ratio between terms is

#=8/(1-(-1/2))#

#=8/(3/2)#

#=16/3#