Question: 4 (20 pts (5 points each): Sequences and Recurrences Let Mn = Mn-1 + 3n - 1; 1 = 2. (This is our recursive definition.)

4 (20 pts (5 points each): Sequences and Recurrences Let Mn = Mn-1 + 3n - 1; 1 = 2. (This is our recursive definition.) 1. List the first five values in the sequence, Mi to Ms 2. Derive a closed form formula for Mn using any method you like. 3. Is the sequence linear, quadratic, cubic, geometric, or something else? Justify your answer. 4. Prove that the closed-form formula follows from the recursive definition using Mathematical Induction. Clearly state your inductive hypothesis

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