# Sequences/Series question

• November 1st 2005, 08:30 AM
Natasha
Sequences/Series question
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 $\sum 1 / 4k^2 - 1 = n / 2n + 1$?
...................................k=1

• November 1st 2005, 01:39 PM
Jameson
Quote:

Originally Posted by Natasha
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 $\sum 1 / 4k^2 - 1 = n / 2n + 1$?
...................................k=1
$\sum_{k=1}^{n}\frac{1}{k^2-1}$