\[\boxed{\mathbf{829\ (829).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\frac{1}{216};\ \frac{1}{36};\ \frac{1}{6};\ldots\]
\[q = \frac{1}{36}\ :\frac{1}{216} = \frac{216}{36} = 6;\]
\[b_{5} = b_{1} \cdot q^{4} = \frac{1}{216} \cdot 6^{4} = \frac{6^{4}}{6^{3}} = 6.\]
\[Ответ:q = 6;\ \ \ b_{5} = 6.\]