-38; -32; … .
\[- 44;\ - 38;\ - 32\ldots\ \ \ \ \ \ \]
\[a_{1} = - 44;\ \ \ \ d = - 38 - ( - 44) =\]
\[= 6\]
\[S_{10} = \frac{2a_{1} + d(n - 1)}{2} \cdot n =\]
\[= \frac{2 \cdot ( - 44) + 6 \cdot (10 - 1)}{2} \cdot 10 =\]
\[= \frac{- 88 + 6 \cdot 9}{2} \cdot 10 =\]
\[= 5 \cdot ( - 88 + 54) = - 170\]
\[Ответ: - 170.\]