Hi all,

Just starting off learning summations, and I'm looking to find if there is an easier way to solve this problem.

$\displaystyle

\sum (\frac{1}{k^2} - \frac{1}{(k-1)^2})

$

The sum is k = 4, up to 24, sorry didn't know how to put it in for latex.

I know what it's asking, but surely there is a faster way than manually substituting in values and adding.

Any help is appreciated.