- #1
cliowa
- 191
- 0
How can I calculate the value of this series as a function of k?
[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
[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