Finding the sum of the alternating series ∑(-1)^n/n

[seanhbailey]

Homework Statement

What is $$\sum_{n=1}^{\infty} (-1)^n/n$$

Homework Equations

The Attempt at a Solution

I know that the alternating series $$\sum_{n=1}^{\infty} (-1)^{n-1}/n$$ converges to ln(2), but I am not sure how to find this series.

 

[Bohrok]

(-1)^n-1 = (-1)ⁿ(-1)^-1 = -1*(-1)ⁿ
then you can take the constant -1 outside the sum.