\[a_{1} = - 1;a_{2} = - 18;\]
\[d = a_{2} - a_{1} = - 18 + 1 = - 17.\]
\[S_{20} = \frac{2a_{1} + d(n - 1)}{2} \cdot n =\]
\[= \frac{- 2 - 17 \cdot 19}{2} \cdot 20 =\]
\[= ( - 2 - 323) \cdot 10 = - 3250.\]
\[Ответ:\ - 3250.\]