SOLUTION: what is the sum of a+ar+ar^2.....to infinity when r<1.

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Question 1100185: what is the sum of a+ar+ar^2.....to infinity when r<1.
Answer by ikleyn(52776) About Me  (Show Source):
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what is the sum of a+ar+ar^2.....to infinity when r<1.
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It is the sum of an infinite geometric progression.


Infinite geometric progression with the common ratio "r" converges  IF AND ONLY IF   |r| < 1.


Then its sum is  S = a%2F%281-r%29,  where  "a" is the first term.