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.