ANSWER:
24/5
STEP-BY-STEP EXPLANATION:
We have the following geometric sequence:
[tex]s=-\frac{3}{5},\frac{6}{5},\frac{-12}{5}[/tex]To know the following term, we must know the common ratio, like this:
[tex]\begin{gathered} r=\frac{-\frac{12}{5}}{\frac{6}{5}}=-2 \\ r=\frac{\frac{6}{5}}{-\frac{3}{5}}=-2 \end{gathered}[/tex]Therefore, the following term should be:
[tex]-\frac{12}{5}\cdot-2=\frac{24}{5}[/tex]