Asked • 10/17/21

How do you prove Binet's Formula for Fibonacci Numbers using mathematical induction?

The Fibonacci numbers form the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

where F1 = 1, F2 = 1, FN = FN-2 + FN-1.

Binet's Formula is:

FN = ([(1+√5)/2]N - [(-1+√5)/2]N)/√5

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