Answer
308
Work Step by Step
$7\Sigma _{k=1}$k(2k+1)
=$7\Sigma _{k=1}(2k^2+k)$
=$2\Sigma _{k=1} k^2 +7\Sigma _{k=1}k$
=2$\frac{7(7+1)(2(7)+1}{6}+\frac{7(7+1}{2}$
=308
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