I don't know how the latex coding works sorry...

I have to use the partial fraction technique on 1/(4k^2 - 1)...

So far so good and I get 1 / 2(2k-1) - 1 / 2(2k+1), is this correct?

....................................n

I now need to show that $\displaystyle \sum 1 / 4k^2 - 1 = n / 2n + 1$?

...................................k=1

Please help