Question: 2. A sequence {a,) =0 is defined recursively by a, = 2, a2 = 6, and an = 2an-1 - an-2 + 2 for n

2. A sequence {a,) =0 is defined recursively by a, = 2, a2 = 6, and an = 2an-1 - an-2 + 2 for n > 3. Use Strong Mathematical Induction to prove that Vn E Z, an = n(n + 1). (9 points)

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