SOLUTION: find the sum up to infinity. 1-1÷3+1÷9+....

Algebra ->  Sequences-and-series -> SOLUTION: find the sum up to infinity. 1-1÷3+1÷9+....      Log On


   



Question 1017638: find the sum up to infinity. 1-1÷3+1÷9+....
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of an infinite geometric series is
S+=+a%5B1%5D+%2F+%281+-+r%29
Here,
S+=+1+%2F+%281+-+%28-1%2F3%29%29
S+=+1+%2F+%284%2F3%29
S = 3/4