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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: 93,923

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

zetafunc
Member
Registered: 2014-05-21
Posts: 348

Re: Fraction revelation?

Have you encountered partial fractions before?

This is clearly true as you claimed, since

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