give a constructive proof of fn = Q^n + P^n/ Q - P , where Q...

give a constructive proof of fn = Q^n + P^n/ Q - P ,

where Q is the positive root

and P is negative root of x^2 - x - 1= 0

fn is nth term of fibonacci sequence, f1 = 1 f2, f3 = f2 +f1, ... fn= fn_1 +fn_2 , n>2

Expert Solution

Colby Messinger answered 2 years ago

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