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16. (10pts) Consider the recursive sequence: am+1 = an + 3 with a1 = 6 . (a) Use Math Induction to prove that the sequence

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16. (10pts) Consider the recursive sequence: am+1 = an + 3 with a1 = 6 . (a) Use Math Induction to prove that the sequence is Monotonic (make it clear whether it is increasing or decreasing) (b) You can assume that the sequence is bounded above and below (no need to prove it is bounded). Deduce that the sequence converges and find the limit

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