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3. Prove the following about the Fibonacci numbers: (a) Fn is even if and only if...

3. Prove the following about the Fibonacci numbers:

(a) Fn is even if and only if n is divisible by 3.
(b) Fn is divisible by 3 if and only if n is divisible by 4.
(c) Fn is divisible by 4 if and only if n is divisible by 6.

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