Question: 11. The Fibonacci sequence is defined by the recursive relation: a n+1 = a n + a n-1, n 1 The explicit formula is given

11. The Fibonacci sequence is defined by the recursive relation: a n+1 = a n + a n-1, n 1

The explicit formula is given by: an = 1/5 (5+1 / 2) n+1 1/ 5(1- 5 / 2) n+1 , n 0

Prove this by Mathematical Induction.

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