How can I calculate the value of this series as a function of k?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sum_{n=k}^{\infty} n\cdot \big(\frac{1}{2}\big)^{n}

[/tex]

Plugging in numbers and trying to see a pattern doesn't work for me, I can't see it. I haven't found a way to decompose this sum into several ones where I can see what's going on.

Could anybody help me? It would be appreciated very much.

Thanks in advance

Best regards...Cliowa

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# Infinte series sum(n*(1/2)^n,n,k,infty)?

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