SOLUTION: use S(n)=a1 (1−rn ) / (1−r) to evaluate the series 1/3+1/9+1/27+1/81

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Question 873298: use S(n)=a1 (1−rn ) / (1−r) to evaluate the series 1/3+1/9+1/27+1/81
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
r = 1/3
S%5Bn%5D=a%5B1%5D%281-r%5En%29%2F%281-r%29+=+a%5B1%5D%2F%281-r%29 when |r| < 1, r^n is VERY small
S%5Bn%5D=+%281%2F3%29%2F%282%2F3%29+=+1%2F2