Respuesta :

Answer:

The common ratio is -6

Step-by-step explanation:

The given sequence is

[tex]\frac{1}{18},-\frac{1}{3},2,-12,...[/tex]

The common ratio can be found using any two consecutive terms of the geometric sequence.

[tex]r=\frac{-12}{2}=-6[/tex]

The correct answer is the last choice.

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have given a geometric sequence.

[tex]\frac{1}{18},\frac{-1}{3},2,-12[/tex],...

We have to find the common ratio of the given geometric sequence.

Common ratio of the geometric sequence is defined as the ratio between two consecutive terms.

It is denoted by r.

Hence, [tex]\frac{-1/3}{1/18}[/tex]

[tex]\frac{-18}{3}[/tex]

-6  is common ratio of the given geometric sequence which is the answer.