SOLUTION: find the sum of the infinite geometric series 1 - 3/5 + 9/25 - 27/125 + ...

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Question 442766: find the sum of the infinite geometric series 1 - 3/5 + 9/25 - 27/125 + ...
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

infinite geometric series {1 - 3/5, 9/25, - 27/125, ...}

   r = (-3/5)

sum%28+a%5Bn%5D%2C+n=1%2C+infinity+%29 = a%5B1%5D%2F%281-r%29 when |r| < 1

sum%28+a%5Bn%5D%2C+n=1%2C+infinity+%29 = 1%2F%281-%28-3%2F5%29%29+=+1%2F%288%2F5%29+=+5%2F8+ 









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