Hi Torsten, thank you for your reply however you're solving a different problem here. It appears that you've introduced a -1/n to the right of the inequality for your convinience. That isn't the orignial problem. I'm not sure what you're doing at all. Please everyone, here's the problem ((((( 1/2^2 + 1/3^2 + ... + 1/n^2 < 1 ))))) FOR ALL n, greater than or equal to 2, PROOF by INDUCTION. I only capitalized for clarity, not yelling here.
Torsten Hennig wrote: > >Prove by induction that 1/2^2 + 1/3^2 + ... + 1/n^2 < 1 >Please help! > >Thank you! > > Hi, > > show by induction that > 1/2^2 + 1/3^2 + ... + 1/n^2 < 1 - 1/n > In the induction step, use that > 1/(n+1)^2 < 1/(n*(n+1)) = 1/n - 1/(n+1) . > > Best wishes > Torsten.