• zmudz
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 $$an + b$$.
Mathematics

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