Binet Formula (Proof By Induction)

 

This proof proves that any given number in the Fibonacci sequence is equal to the ratio of that place value in the Fibonacci sequence and the previous Fibonacci number. See this page to see the proofs of the givens. To learn what a proof by induction is, click here.

 

Binet1

Binet2

Binet3

Binet4

Binet5

Binet6
Binet7

Binet8