The Fibonacci numbers are defined by the sequence F₁ = 1, F₂ = 1 and for F = F-1+ F-2 and n23 The Lucas numbers are defi

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The Fibonacci Numbers Are Defined By The Sequence F 1 F 1 And For F F 1 F 2 And N23 The Lucas Numbers Are Defi 1 (23.95 KiB) Viewed 11 times

The Fibonacci numbers are defined by the sequence F₁ = 1, F₂ = 1 and for F = F-1+ F-2 and n23 The Lucas numbers are defined similarly (the same recursive sequence, but differer L₁ = 1, L₂=3 LaLn-1+Ln-2 for n ≥ 3 Use induction (weak or strong, as appropriate) to prove that Ln Fn+2Fn-1 for n > 2.