Hi. I need help showing the work for the sum of the series (N)/(2^N) from N=1 to infinity. The answer is two, but I'm not quite sure how to go about it.

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- Nov 1st 2007, 08:29 PMSnowWhiteFinding the sum of a series
Hi. I need help showing the work for the sum of the series (N)/(2^N) from N=1 to infinity. The answer is two, but I'm not quite sure how to go about it.

- Nov 2nd 2007, 02:58 AMPlato

Let x = . - Nov 2nd 2007, 05:35 AMSoroban
Hello, SnowWhite!

Another approach . . .

Quote:

Find: .

We have: . . . . .

Multiply by

Subtract: . . . .

Therefore: .

- Nov 2nd 2007, 08:26 AMSnowWhiteThank you!
Thank you both so much!