Assistance Requested on geometric series

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Compute the sum from k=0 to infinity of (k+1)(x)(1-x)^k.

I don't have any ideas about how to start this one, except that perhaps it resembles a geometric series? Also we're supposed to use the power series for 1/x which we know to be (1-x)^k. What I could really use some help with is how to get started, then I should be able to pick it up from there. Thank you SO much!
 
royhaas said:
Take the derivative of the series for (1-x)/x.
Click to expand...

But when you take the derivative of that, you get(2x-2)/x^2. That doesn't help with the original problem, does it? I'm still unclear... :shock:
 
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