- #1

Rapier

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## Homework Statement

Find the sum of sigma (n=1 to infinity) (-1)^(n-1) * [n/(4^(n-1))] using the power series 1/(1+x) = sigma (n=0 to infinity) (-1)^n * x^n.

## Homework Equations

1/(1+x) = 1 - x + x^2 - x^3 + x^4 + ... + (-1)^n * x^n

## The Attempt at a Solution

The problem suggested to differentiate both sides and then substitute 1/4 for x.

I am totally confused and don't even know where to begin.