First: I will be appreciated if you do the the expansion of $$ \frac{x}{1-x-x^2}$$ Second: I've seen in some textbook(generatingfunctionology) in a phase of exapnsion it told: $$\frac{1}{1-xr_+}=\sum_{j=0}^\infty x^j+r^j$$ I was confused when I saw the following in wikipedia: $$\sum_{n=0}^\infty (rx)^n=\frac{1}{1-xr}$$ (For your information$$ r_+=\frac{\sqrt{5}+1}{2}$$) Now I don't know how those two sum are equal and how do thay Measured the first sum .
2026-02-22 19:13:25.1771787605
Expansion of fibonacci generating function
31 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in GENERATING-FUNCTIONS
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