\[\boxed{\text{888\ (}\text{c}\text{).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[a_{2} = - 6,\ \ a_{3} = - 2,\ \ \]
\[a_{15} = ?\]
\[\left\{ \begin{matrix} a_{2} = a_{1} + d\ \ \\ a_{3} = a_{1} + 2d \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow \left\{ \begin{matrix} a_{1} + d = - 6\ \ \\ a_{1} + 2d = - 2 \\ \end{matrix} \right.\ \ \Longrightarrow\]
\[\Longrightarrow \left\{ \begin{matrix} a_{1} + d = - 6\ \ \ \ \ \ \ \ \ \ \ \ \ \\ d = - 2 - ( - 6) = 4 \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow \left\{ \begin{matrix} d = 4\ \ \ \ \ \ \ \ \\ a_{1} = - 10, \\ \end{matrix} \right.\ \]
\[a_{15} = a_{1} + 14d =\]
\[= - 10 + 14 \cdot 4 = 46.\]