Answer
The next three terms are $768,3072,12288$.
The points appear to lie on an exponential curve.
The graph is shown below.
Work Step by Step
The given sequence is
$3,12,48,192,...$
Use table to organize the terms.
Each term is multiplied by $4$ to the previous term. So, the common ratio is $4$.
So, the sequence is geometric.
Multiply a term by $4$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
