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5. The Fibonacci numbers are defined as: f1 = 1 , f2 = 1 , and fn = fn1 + fn2 , for n 3
5. The Fibonacci numbers are defined as: f1 = 1 , f2 = 1 , and fn = fn1 + fn2 , for n 3 . Give a proof by induction to show that 3 | f4n, for all n 1 .
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