Answer
The next three terms are $81,243,729$.
The points appear to lie on an exponential curve.
The graph is shown below.
Work Step by Step
The given sequence is
$1,3,9,27,...$
Use table to organize the terms.
Each term is three times the previous term. So, the common ratio is $3$.
Multiply a term by $3$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
