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Math Forum » Discussions » Math Topics » alt.math.undergrad.independent

Topic: Induction proof
Replies: 24   Last Post: Aug 22, 2006 4:11 PM

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Brian M. Scott

Posts: 1,256
Registered: 12/6/04
Re: Induction proof
Posted: Aug 20, 2006 10:18 AM
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On 18 Aug 2006 08:18:48 -0700, <emailtgs@gmail.com> wrote in
<news:1155914328.242585.49280@p79g2000cwp.googlegroups.com>
in alt.math.undergrad:

> Paul Sperry, thank you for your reply, however you're attempting to
> solve a different problem here. It seems that you've introducted the
> number 1 to the problem as the first term in the series.

Obviously proving that 1/1^2 + 1/2^2 + ... + 1/n^2 < 2 is
the same as proving that 1/2^2 + 1/3^2 + ... + 1/n^2 < 1.

[...]

Brian

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