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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of an infinite geometric series
a%2B+ar+%2B+ar%5E2+%2B+ar%5E3+ +.....
is given by
S= a%2F%281-r%29 where a is the first term and r the common ratio
here a = 1
r = ar/a (second term / first term)
= %283%2F5%29%2F1
=3/5
S = 1%2F%281+-3%2F5%29
= 1%2F%282%2F5%29
= 5%2F2