Math Is Fun Forum

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Binomial Theorem

Made a page about the Binomial Theorem

Critiques welcome.

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Binomial Theorem

Hi MathsisFun;

Well done, would like to see you mention Sir Isaac Newton.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Binomial Theorem

Ah yes,the general version. What would you suggest writing? It may need a whole page on its own.

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Binomial Theorem

Hi MathsisFun;

Just a brief paragraph mentioning that Newton is credited with the discovery should do it.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

soroban

Member

Registered: 2007-03-09

Posts: 452

Re: Binomial Theorem

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MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Binomial Theorem

That is a cool trick.

It also applies to the C=6 term: C = 1*6/(0+1) = 6

So there must be a general rule for generating any row of Pascal's Triangle ...

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Binomial Theorem

I have reworked the page, including more examples at the end.

Would appreciate your thoughts, guys: Binomial Theorem

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Binomial Theorem

Hi MathsisFun;

Nice derivation of the Taylor series for e at the bottom. Thanks for the page.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Binomial Theorem

Thanks bobby!

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Binomial Theorem

Looks really spiffy!!!

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