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4. (Induction/Recursion - 36 pt.) a. (5 pt.) Give a recursive definition of the sequence ana = n?, n=1,2,3,.. b. (13 pt.) Let fr be

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4. (Induction/Recursion - 36 pt.) a. (5 pt.) Give a recursive definition of the sequence ana = n?, n=1,2,3,.. b. (13 pt.) Let fr be the nth Fibonacci number fo = 0,f1 = 1, fn = fn-1 + fn-2). Prove that fi + 3 + ... + f2n-1 = fan

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