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Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

Define a1=2a_1 = 2 and an+1=an+2(n+1)a_{n+1} = a_n + 2(n + 1) for n≥1n \ge 1. The first terms 2,6,12,202, 6, 12, 20 suggest an=n(n+1)a_n = n(n+1), and induction confirms it. What is a20a_{20}?

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