\[S_{10} = \frac{2a_{1} + 9d}{2} \cdot 10 =\]
\[= 5 \cdot \left( 2a_{1} + 9d \right)\]
\[a_{1} = - 8;d = 4:\]
\[S_{10} = 5 \cdot \left( 2 \cdot ( - 8) + 9 \cdot 4 \right) =\]
\[= 5 \cdot 20 = 100.\]