what is the common ratio of the sequence? -2, 6, -18, 54,...\n-3\n-2\n3\n8

Explanation:

Step1: Recall common - ratio formula

For a geometric sequence (a_n), the common ratio (r=\frac{a_{n + 1}}{a_n}).

Step2: Select two consecutive terms

Let (a_1=-2) and (a_2 = 6). Then (r=\frac{a_2}{a_1}).

Step3: Calculate the common ratio

(r=\frac{6}{-2}=-3). We can double - check with other consecutive terms. Let (a_3=-18) and (a_2 = 6), then (r=\frac{a_3}{a_2}=\frac{-18}{6}=-3).

Answer:

A. -3