The Fibonacci numbers are defined as follows: F = F = 1 and for every i> 2, F; = F-1 + F; 2. We thus get the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... Prove by induction that F = Fn+2 - 1 i-0


The Fibonacci numbers are defined as follows: F = F = 1 and for every<br>i> 2, F; = F-1 + F; 2. We thus get the<br>sequence<br>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...<br>Prove by induction that<br>F = Fn+2 - 1<br>i-0<br>

Extracted text: The Fibonacci numbers are defined as follows: F = F = 1 and for every i> 2, F; = F-1 + F; 2. We thus get the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... Prove by induction that F = Fn+2 - 1 i-0

Jun 02, 2022
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