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$1$. In a game show, players play multiple rounds to score points. Each round has $2$ times as many points available as the previous round.$\newline$\begin{tabular}{|l|l|l|l|l|l|}$\newline$\hline round & $0$ & $1$ & $2$ & $3$ & n \\$\newline$\hline points & $15$ & $30$ & $60$ & $120$ & \\$\newline$\hline$\newline$\end{tabular}$\newline$Wite $a n$ equation that shows the number of points available, $p$, in round $n$ of the game show?