$2$ . $\newline$ \begin{tabular}{|l|c|c|c|c|} $\newline$ \hline $n$ & $1$ & $2$ & $3$ & $4$ \\ $\newline$ \hline $a_{n}$ & $2916$ & $972$ & $324$ & $108$ \\ $\newline$ \hline $\newline$ \end{tabular}

Full solution

2

\newline

\begin{tabular}{|l|c|c|c|c|}

\newline

\hline

n

1

2

3

4

\newline

\hline

a_{n}

2916

972

324

108

\newline

\hline

\newline

\end{tabular}

Look for pattern: Look at the sequence to find a pattern. $\newline$ $a_{n} = 2916, 972, 324, 108$ $\newline$ Each term is divided by $3$ to get the next term.
Divide by $3$ : Find the next term by dividing the last term by $3$ . $\newline$ $108 \div 3 = 36$
Find next term: Continue the pattern to see if there's another term that can be divided by $3$ . $\newline$ $36 \div 3 = 12$
Continue pattern: Check if $12$ can be divided by $3$ to stay in the pattern. $\newline$ $12 \div 3 = 4$
Check division: Now, see if $4$ can be divided by $3$ to get a whole number. $4 \div 3$ does not equal a whole number, so we stop here.