ГДЗ по алгебре 9 класс Мерзляк Задание 853

\[\boxed{\mathbf{853\ (853).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[b_{1} = 80;\ \ b_{5} = 5\]

\[b_{5} = b_{1}q^{4}\ \]

\[q^{4} = \frac{b_{5}}{b_{1}} = \frac{5}{80} = \frac{1}{16} \Longrightarrow \ \ q = \pm \frac{1}{2}\]

\[при\ q = \frac{1}{2}:\ \]

\[b_{2} = 80 \cdot \frac{1}{2} = 40;\ \ \ \ \]

\[b_{3} = 40 \cdot \frac{1}{2} = 20;\ \ \]

\[b_{4} = 20 \cdot \frac{1}{2} = 10;\]

\[при\ q = - \frac{1}{2}:\ \]

\[b_{2} = 80 \cdot \left( - \frac{1}{2} \right) = - 40;\ \ \]

\[b_{3} = - 40 \cdot \left( - \frac{1}{2} \right) = 20;\ \ \]

\[b_{4} = 20 \cdot \left( - \frac{1}{2} \right) = - 10.\]

\[Ответ:80,\ 40,\ 20,\ 10,\ 5\ \ \ или\ \ \ \]

\[80,\ - 40,\ 20,\ - 10,\ 5.\]