Answer
$-18$
Work Step by Step
$\sum ^{5}_{i=2}\left( 6-3i\right) =\sum ^{5}_{i=2}\dfrac {63}{}\sum ^{5}_{i=2}i=\sum ^{4}_{i=1}\dfrac {63}{}\sum ^{5}_{i=2}i=4\times 6-3\left( 2+3+4+5\right) =-18$
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