Let F, denote the nth Fibonacci number (F1 = F2 = 1, Fn+2 Fn+1 + Fn for n > 1). Use %3D induction to prove that Vn > 1: Fn - Fn+1Fn – F = (-1)"

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Chapter2: Second-order Linear Odes
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Let Fn denote the n' Fibonacci number (F1 = F2 = 1, Fn+2
induction to prove that n ≥ 1: 

Let Fn denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1 + F, for n > 1). Use
induction to prove that Vn > 1:
n+1 = Fn+1Fn – F = (-1)"
Transcribed Image Text:Let Fn denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1 + F, for n > 1). Use induction to prove that Vn > 1: n+1 = Fn+1Fn – F = (-1)"
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