ГДЗ по алгебре 9 класс Мерзляк Задание 794

\[\boxed{\mathbf{794\ (794).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[3;7;11;\ldots\ \ \]

\[S_{5} = 135\]

\[d = 7 - 3 = 4 \Longrightarrow \ \ n = 5\]

\[S_{5} = \frac{2a_{1} + 4d}{2} \cdot 5 = \left( a_{1} + 2d \right) \cdot\]

\[\cdot 5 = \left( a_{1} + 2 \cdot 4 \right) \cdot 5 = 5a_{1} + 40\]

\[5a_{1} + 40 = 135\]

\[5a_{1} = 95\]

\[a_{1} = 19\]

\[a_{1} = 19,\ \ a_{2} = 19 + 4 = 23,\]

\[\text{\ \ }a_{3} = 23 + 4 = 27,\]

\[\text{\ \ }a_{4} = 27 + 4 = 31\]

\[a_{5} = 31 + 4 = 35\]

\[Ответ:да \Longrightarrow \ 19,\ 23,\ 27,\ 31,\ 35.\]