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Topic: Binomial where a=1?
Replies: 8   Last Post: Apr 5, 2013 2:07 PM

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Bart Goddard

Posts: 1,707
Registered: 12/6/04
Re: Binomial where a=1?
Posted: Apr 3, 2013 11:40 PM
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David Bernier <david250@videotron.ca> wrote in news:kjiegb$t8g$1@dont-

> On 04/03/2013 06:50 PM, Bart Goddard wrote:
>> Anonymous <nobody@remailer.paranoici.org> wrote in
>> news:741da947a07ad28bd260dc8dcfe67e8b@remailer.paranoici.org:

>>> Is there a special name for a binomial where a=1:
>>> (a+b)^n = (1+b)^n ?
>>> Something like "uninomial", "unomial" or "anomial"?

>> "Geometric series."

> (1+b)^n = sum_{k=0 ... n} C(n, k) b^k ;
> so, I think we still have the binomial coefficients in the
> expansion, and don't see that it's a genuine geometric series
> on the right hand side ...
> David Bernier

It's a one-term series.

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