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The closed form sum of

\(12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]\)

for \(n \geq 1\) is \(n(n+1)(n+2)(an+b).\) Find an + b.

 May 31, 2020
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an + b = 7n + 1.

 Jun 13, 2020

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