Respuesta :

Answer:

The common ratio is -3

Step-by-step explanation:

we know that

In a Geometric Sequence each term is found by multiplying the previous term by a constant called the common ratio

In this problem we have

-2,6,-18,54...

Let

a1=-2, a2=6,a3=-18,a4=54

a2/a1=6/-2=-3

a3/a2=-18/6=-3

a4/a3=54/-18=-3

Each term (except the first term) is found by multiplying the previous term by -3

therefore

we have a geometric sequence and the common ratio is -3