Question

-3/5, 6/5, -12/5 What is the next term of the geometric sequence ?

Answer 1

ANSWER:

24/5

STEP-BY-STEP EXPLANATION:

We have the following geometric sequence:

$s=-\frac{3}{5},\frac{6}{5},\frac{-12}{5}$

To know the following term, we must know the common ratio, like this:

$\begin{gathered} r=\frac{-\frac{12}{5}}{\frac{6}{5}}=-2 \\ r=\frac{\frac{6}{5}}{-\frac{3}{5}}=-2 \end{gathered}$

Therefore, the following term should be:

$-\frac{12}{5}\cdot-2=\frac{24}{5}$