Answer
The next three terms are $-32,64,-128$.
The points appear to lie on an exponential curve.
The graph is shown below.
Work Step by Step
The given sequence is
$-2,4,-8,16,...$
Use table to organize the terms.
Each term is multiplied by $-2$ to the previous term. So, the common ratio is $-2$.
Multiply a term by $-2$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
