Answer
The next three terms are $9,\frac{27}{2},\frac{81}{4}$.
The points appear to lie on an exponential curve.
The graph is shown below.
Work Step by Step
The given sequence is
$\frac{16}{9},\frac{8}{3},4,6,...$
Use table to organize the terms.
Each term is multiplied by $\frac{3}{2}$ to the previous term. So, the common ratio is $\frac{3}{2}$.
Multiply a term by $\frac{3}{2}$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
