Answer
The next three terms are $\frac{3}{5},-\frac{3}{25},\frac{3}{125}$.
The graph is shown below.
Work Step by Step
The given sequence is
$375,-75,15,-3,...$
Use table to organize the terms.
Each term is divided by $-5$ to the previous term. So, the common ratio is $-\frac{1}{5}$.
So, the sequence is geometric.
Multiply a term by $-\frac{1}{5}$ to find the next term.
Plot the ordered pairs $(n,a_n)$.
The complete table is shown below.
