Question

-2, 12, -72...Find the common ratio of the geometric sequence.

Answer 1

`r=-6`

Step-by-step explanation

We want to find the common ratio of the geometric sequence.

`-2,12,-72`

To do this, divide a term by its preceeding term.

Let us divide 12 by -2 and -72 by 12:

That is:

`\begin{gathered} \Rightarrow r=(12)/(-2) \\ r=-6 \\ \Rightarrow r=(-72)/(12) \\ r=-6 \end{gathered}`

The common ratio is 6.