Homework Statement
Show \sum_{i=1}^n \frac{1}{i^2} \leq 2 - \frac{1}{n} with induction on n.
I'm pretty rusty on induction (not that I was very good at it to being with), so I mostly wanted to know if I'm on the right track, and if this is a way towards a valid proof.
Homework Equations
The...