\[- 44;\ - 38;\ - 32;\ldots\]
\[a_{1} = - 44;\ \ a_{2} = - 38;\]
\[d = a_{2} - a_{1} = - 38 + 44 = 6.\]
\[S_{10} = \frac{2a_{1} + d(n - 1)}{2} \cdot n =\]
\[= \frac{- 88 + 6 \cdot 9}{2} \cdot 10 =\]
\[= ( - 88 + 54) \cdot 5 =\]
\[= - 34 \cdot 5 = - 170.\]
\[Ответ:\ - 170.\]