Let a_0 + (a_1)(x) + (a_2)(x^2) + ... = 1/(1 - x - x^2). Prove that...

Question

Question

Let a_0 + (a_1)(x) + (a_2)(x^2) + ... = 1/(1 - x - x^2).

Prove that the coefficients of a_n are the Fibonacci Numbers.

math Advanced-Math

Answer 1

Answer #1

So! Lot |-4-x2 - (a.t art ag14 -) ) - (ao tait a -a. +(ao-a)u (as+a -a) (a+a,- a3) 22+ aita-aD ao-a1-0, - ao =1, an-t an- - a

Answer 2

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