- #1
bakerconspira
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Homework Statement
Calculate [tex][x^n] (1-2x+x^2)^{(-k)} [/tex]
Homework Equations
Just the geometric series.
The Attempt at a Solution
This is what I got so far [tex][x^n] (1-2x+x^2)^{(-k)} = [x^n]((x-1)^2)^{(-k)} = [x^n] \frac{1}{(x-1)^{(2k)}}[/tex]
Basically, how do I put this into a sum form? or can I just multiply like this [tex] \frac{1}{(x-1)^{(2k)}} * \frac{1-x}{1-x} \Rightarrow a_n = \frac{(1-x)}{(x-1)^{(2k)}}[/tex]?
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