\[\boxed{\text{634.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x_{1} = 2,\ \ x_{5} = x_{1} \cdot q^{4} = 162,\ \ 2q^{4} = 162,\ \ q^{4} = 81 \Longrightarrow q = \pm 3;\]
\[1)\ q = 3,\ \ x_{1} = 2,\ \ x_{2} = x_{1} \cdot q = 2 \cdot 3 = 6;\]
\[x_{3} = x_{1} \cdot q^{2} = 2 \cdot 3^{2} = 2 \cdot 9 = 18;\]
\[x_{4} = x_{1} \cdot q³ = 2 \cdot 3³ = 54;\ \ \ \ x_{5} = 162.\]