The 2\textsuperscript{nd} term of a geometric sequence is 120 and the
4\textsuperscript{th} term is 30.

\begin{enumerate}
    \item \nbPointsEnumi{3}Show that the common ratio is \(\dfrac{1}{2}\).
    \item \nbPointsEnumi{3}Find the sum of the first 7 terms of the sequence.
    \item \nbPointsEnumi{2}Find the sum to infinity of the sequence.
\end{enumerate}
