Ah, thank you for the replies! This is not a homework problem. This was from an old notebook of mine and the solution is incomplete. It was just bothering me.
Hey,
I am wondering if anyone could algebraically prove that \sum{n=0=>inf} (n / 2^n) = 2. There is some simple trick to it but I am stumped. :/
Here is a clearer picture of my summation:
http://img638.imageshack.us/img638/2114/texer1.png