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#1 2014-07-14 17:58:33

Cam9430
Guest

Fraction revelation?

Hi, I'm a bit new to this place.

I was thinking about this equation for a while. It came up because I've been doing excessive fraction work in Kumon lately (Urrrgh not Kumon). Essentially, you could say I "discovered" it?

So, I was asking if anyone could prove, if possible:

For all values of N (Natural numbers).

I've been assuming this equation for a while to help me take shortcuts in Kumon, but I was wondering if it is even true?

Post your proofs, or proofs against this equation, below.

~Cam943

#2 2014-07-14 19:28:14

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,362

Re: Fraction revelation?

Hi Cam9430;

That is an identity, it is true for all numbers not just N.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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#3 2014-07-15 07:03:54

zetafunc
Member
Registered: 2014-05-21
Posts: 1,617
Website

Re: Fraction revelation?

Have you encountered partial fractions before?

This is clearly true as you claimed, since

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