Question: (c) Generating function. Show that the generating function of the Fibonacci number is f(z) = 1/(1 z z2) ; that is, if a

(c) Generating function. Show that the generating function of the Fibonacci number is f(z) = 1/(1 – z – z2) ; that is, if a power series (1) represents this f(z), its coefficients must be the Fibonacci number and conversely.

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