I am having trouble deriving a simple closed form expression for the following sum: Sn = for n = 0,1,2,3,4,.....
I am not sure how to use the binomial theorem to derive the expression. Any help would be much appreciated.
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Your sum can be written which looks like , doesn't it ?
Yes I see it now, thanks. By any chance would you know how to get started on proving that: for .
Originally Posted by Number Cruncher 20 By any chance would you know how to get started on proving that: for . This is straightforward. We have and
If you simplify these two expressions you'll see that they are equal.
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