Answer
$\dfrac{65,534}{3}$ or, $21,844.\overline{6}$
Work Step by Step
$ S_{15}=\dfrac{-2[ 1-(-2)^{15}]}{1-(-2)}$
$= \dfrac{-2( 2^{15-1})}{1+2}$
$=\dfrac{-2( 32768-1)}{3}$
$=\dfrac{65,534}{3}$
$=21,844.\overline{6}$
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