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Let

(n) denote the nth term of a sequence of integers given.

by the equation

f(n) = f(n-1) +f(n-2) for n > 2 and f(1) = 1

and

f(2) = 1, then using principle of mathematical induction, show

that

√ 5 f( n ) = {(1+ √ 5) / 2} -- {(1 -- √ 5) / 2}for all n > = 1

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