Question

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

Answer 1

24/5

Explanation:

We have the following geometric sequence:

`s=-(3)/(5),(6)/(5),(-12)/(5)`

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

`\begin{gathered} r=(-(12)/(5))/((6)/(5))=-2 \\ r=((6)/(5))/(-(3)/(5))=-2 \end{gathered}`

Therefore, the following term should be:

`-(12)/(5)\cdot-2=(24)/(5)`