Question: Question: The Fibonacci Sequence is defined using the recursive definition Fn + 2 Fn + 1 + Fn , with Fo = 0 and F

Question: The Fibonacci Sequence is defined using the recursive definition Fn+2 Fn+1+ Fn, with Fo =0 and F1=1= first Fibonacci numbers up to the nth is equal to the (n +2)-nd Fibonacci number minus 1. That is Fi + F2+...+ Fn = Fn+2-1=1. Show by mathematical induction that the above identity is true. 2. Construct an algorithm which calculates the Fibonacci

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