SOLUTION: Find the sum, if it converges. 1/3-1/9+1/27-...

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Question 926339: Find the sum, if it converges.
1/3-1/9+1/27-...
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Infinite geometric series with a%5B1%5D=1%2F3, r=-1%2F3

S%5Binfinity%5D%22%22=%22%22a%5B1%5D%2F%281-r%29%22%22=%22%22expr%281%2F3%29%2F%281-%28-1%2F3%29%29%22%22=%22%22expr%281%2F3%29%2F%281%2B1%2F3%29%22%22=%22%22expr%281%2F3%29%2F%283%2F3%2B1%2F3%29%22%22=%22%22expr%281%2F3%29%2F%284%2F3%29%22%22=%22%22expr%281%2F3%29%2Aexpr%283%2F4%29%22%22=%22%221%2F4

Edwin