\[\boxed{\text{632.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ x_{6} = x_{1} \cdot q^{5},\ \ 0,32 = x_{1} \cdot (0,2)^{5},\ \ x_{1} = \frac{0,32}{{0,2}^{5}} = 0,32 \cdot 5^{5} = 1000;\]
\[\textbf{б)}\ x_{3} = x_{1} \cdot q² = - 162,\ \ x_{5} = x_{1} \cdot q^{4} = - 18,\ \]
\[\frac{x_{1} \cdot q^{4}}{x_{1} \cdot q²} = \frac{- 18}{- 162},\ \ q² = \frac{1}{9},\ \ q = \pm \frac{1}{3}.\]