Question: Let {an} be a sequence such that a 1 = 1 and a n+1 = a n + 3n(n + 1) for n N.

Let {an} be a sequence such that a 1 = 1 and a n+1 = a n + 3n(n + 1) for n ∈ N. Prove that a n = n 3 − n + 1 for n ∈ N.

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