# How do you find the sum of the infinite geometric series #4/25+2/5+1+...# ?

##### 1 Answer

Sep 1, 2016

The sum of this series does not converge.

#### Explanation:

A general term of this series is:

#a_n = (5/2)^(n-3)" "# #n = 1,2,3,...#

Since the common ratio