Question help mini GRE25

For the sequence question, how do you know to convert 1/(n^2-1) to 1/(n-1) - 1/n?

Pattern recognition is one way.

Hi

Thank you for replying. The first thing I did was to fit ‘n = 2’ in the sequence. But breaking it up to that extent, totally not the first thing I would think of doing.

This isn’t correct though?