SOLUTION: Find the sum of the infinite geometric series: 1 + 3/5 + 9/25 + ..., it it exists. The answers to choose from are: a. 5/3 b. 5/2 c. 3/5 d. does not exist So that I may ha

Question 98153: Find the sum of the infinite geometric series: 1 + 3/5 + 9/25 + ..., it it exists.
The answers to choose from are:
a. 5/3
b. 5/2
c. 3/5
d. does not exist
So that I may have a better understanding, could you please show the work for the problem. Thank you very much.
Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!
The sum of an infinite geometric series
+.....
is given by
S= where a is the first term and r the common ratio
here a = 1
r = ar/a (second term / first term)
=
=3/5
S =
=
=
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