Respuesta :

ANSWER

[tex]r=-6[/tex]

EXPLANATION

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

[tex]-2,12,-72[/tex]

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

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

That is:

[tex]\begin{gathered} \Rightarrow r=\frac{12}{-2} \\ r=-6 \\ \Rightarrow r=\frac{-72}{12} \\ r=-6 \end{gathered}[/tex]

The common ratio is 6.

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