SOLUTION: Find the sum of the infinite geometric series 5 plus five-thirds plus five-ninths + five twenty sevenths etc. , if it exists.

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Question 881344: Find the sum of the infinite geometric series 5 plus five-thirds plus five-ninths + five twenty sevenths etc. , if it exists.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
5,5/3,5/9,5/27
An infinite geometric series converges
if its common ratio r satisfies –1 < r < 1
r=1/3
Sum=(a1/1-r)
Sum=(5/1-1/3)
Sum=(5/2/3)
Sum=(5*3/2)
Sum=15/2=7.5