\[\boxed{\mathbf{1033\ (1033).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[a_{9} = 15\]
\[S_{17} = \frac{2a_{1} + 16d}{2} \cdot 17 =\]
\[= \frac{2 \cdot \left( a_{1} + 8d \right)}{2} \cdot 17 = \frac{2 \cdot a_{9}}{2} \cdot\]
\[\cdot 17 = a_{9} \cdot 17 = 15 \cdot 17 = 255.\]
\[Ответ:255.\]