\textbf{101--} Geometric sequences with a common ratio greater than one that include 5 terms and are members of the set $\{1, 2, \ldots, 100\}$. How many of these sequences can be found whose terms are all members of the set $\{1, 2, \ldots, 100\}$?
\medskip
\hspace{1cm} (1) $2$ \hspace{2cm} (2) $4$ \hspace{2cm} (3) $6$ \hspace{2cm} (4) $7$
\bigskip
\noindent