SOLUTION: An infinite geometric series has the first term 195 and a common ratio -0.59. What is the sum of infinity of this series?

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Question 714792: An infinite geometric series has the first term 195 and a common ratio -0.59.
What is the sum of infinity of this series?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the first n terms of such a geometric sequence is
S%5Bn%5D=195%281-%28-0.59%29%5En%29%2F%281-%28-0.59%29%29=195%281-%28-0.59%29%5En%29%2F1.59
As n increases towards infinity, %28-0.59%29%5En decreases towards zero,
so the sum of infinity of that series is
195%2A1%2F1.59=195%2F1.59=6500%2F53 = approx. 122.64