## anonymous 3 years ago Is there any known geometric progression, construction, that generates ((x+1)^n)/(x^n) [((x+1}^n)*(x^-n)] for n=1 to infinity?

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1. experimentX

$\frac 1{1-x} = \sum_{n=0}^\infty x^n , |x|<1$

2. anonymous

Is that a geometric construction (progression)?

3. experimentX

yes ... the left side is called generating function.