\[\boxed{\mathbf{729\ (729).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[b_{5} = 11,\ \ b_{11} = - 7\]
\[\left\{ \begin{matrix} b_{1} + 4d = 11\ \ \\ b_{1} + 10d = - 7 \\ \end{matrix} \right.\ \text{\ \ }( - )\text{\ \ \ }\]
\[\left\{ \begin{matrix} - 6d = 18\ \ \ \ \ \\ b_{1} = 11 - 4d \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]
\[\ \left\{ \begin{matrix} d = - 3\ \ \ \ \ \ \ \ \ \ \\ b_{1} = 11 + 12 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix} d = - 3 \\ b_{1} = 23 \\ \end{matrix} \right.\ \]
\[Ответ:b_{1} = 23.\]