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Fibonacci numbers are defined by F0 = 0, F1 = 1 and Fn+2 = Fn+1 +...

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Advance Math

Fibonacci numbers are defined by F0 = 0, F1 = 1 and Fn+2 = Fn+1+ Fn for all n ? N ? {0}.

(1) Make and prove an (if and only if) conjecture about whichFibonacci numbers are multiples of 3.
(2) Make a conjecture about which Fibonacci numbers are multiplesof 2020. (You do not need to prove your

conjecture.) How many base cases would a proof by induction ofyour conjecture require?

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