\[\boxed{\mathbf{727\ (727).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[a_{1} = - 6;\ \ a_{3} = 12\]
\[a_{n} = \frac{a_{n - 1} + a_{n + 1}}{2}\ \]
\[a_{2} = \frac{a_{1} + a_{3}}{2} =\]
\[= \frac{- 6 + 12}{2} = \frac{6}{2} = 3.\]
\[Ответ:a_{2} = 3.\]