Question: 5. (10 pts) Consider the sequence { an } defined recursively as : ag = 0, a1 = 1, an = an-1 + an-2. Prove

5. (10 pts) Consider the sequence { an } defined recursively as : ag = 0, a1 = 1, an = an-1 + an-2. Prove by mathematical induction that [(a; + 1) = an+2 + n holds for an arbitrary n e Z

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