1. The problem statement, all variables and given/known data By first expressing the general term in partial fractions, find an expression in terms of n for summation of r=2 to n ( 1 / (r^2 - 1) ). Hence show that summation of r=1 to n ( 1 / r^2) i less than 7/4 for all values of n 2. Relevant equations 3. The attempt at a solution I solved the first part of the question already. However, I'm stuck at the second part. Can anyone give me some clues to showing 1/r^2 sum from r = 1 to n is always less than 7/4? Thank you.