/sci/ - Science & Math

Ok, last answer check of the week. On this one we're asked to use the alternating series theorem to get an error estimate < 0.00001 for the series:
[eqn]
\sum_{n=0}^{\infty} (-1)^n \frac{n+1}{2^n}
[/eqn]

This is another one of those ones that felt suspiciously easy, so I wanted to post just in case.