Answer
$\displaystyle \sum_{k=2}^{5}(k+1)^2(k-3)=88$
Work Step by Step
$\displaystyle \sum_{k=2}^{5}(k+1)^2(k-3)=(2+1)^2(2-3)+(3+1)^2(3-3)+(4+1)^2(4-3)+(5+1)^2(5-3)=-9+0+25+72=88$
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