Answer
The next three terms are $-768,3072,-12288$.
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 $-4$.
Multiply a term by $-4$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
The next three terms are $-768,3072,-12288$.
The points appear to lie on an exponential curve.
The graph is shown below.
