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What how do you compute the sum of 1/2 + 1/4 + 1/8 + 1/16 + 1/32 +++ 1/2N ?

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it is an infinite geometric series and there is a formula for it

looking at the series sums
... 1/2, 3/4, 7/8, 15/16, 31/32...

you should see the pattern and where the sum is going

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