Question: Defined Fn as: 3. (8) Prove by mathematical induction that F (as defined at the beginning of the previous problem) is even if and only

Defined Fn as:

3. (8) Prove by mathematical induction that F (as defined at the beginning of the previous problem) is even if and only if n is divisible by 3. Be sure to show both directions of the "if and only if" Suggestion: prove both directions in one induction proof

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