Date: Aug 18, 2006 2:32 AM
Author: Torsten Hennig
Subject: Re: Induction proof

>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.