Answer
$-29300$
Work Step by Step
Here $a_1=4 $ and $d=-6$; an arithmetic sequence
$S_n=\dfrac{n}{2}(2a_1+(n-1)d)$
Thus,
$S_{100}=\dfrac{100}{2}(2(4)+(100-1)(-6))=50(8+(-594))$
or, $=-29300$
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