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**Telescoping Method & Partial Fractions...PLEASE HELP!!!**

**1. Homework Statement**

Find the sum of the series from n=1 to infinity...

2/(4n^2-1)

**2. Homework Equations**

**3. The Attempt at a Solution**

I want to use the telescoping method....

2/(4n^2) = 2/[(2n-2) * (2n+1)]

I am following an example in my book and this is where I don't know what they did next...but they got

An = 1/(2n-1) - 1/(2n+1)