SOLUTION: 1+1/2-1/4+1/8+......

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Question 8151: 1+1/2-1/4+1/8+......
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
this is the sum of a geometric progression/series with r=-1/2 and starting with a=1/2.

S%5Balpha%5D+=+a%2F%281-r%29
S+=+%281%2F2%29%2F%281-%28-1%2F2%29%29
S+=+%281%2F2%29%2F%281%2B%281%2F2%29%29
S+=+%281%2F2%29%2F%283%2F2%29
S+=+1%2F3

then add the original 1, to give a sum of 4/3

jon