Solution:
Given sequence is:
-2, 6, -18, 54
We have to find the common ratio of sequence
Common ratio is the ratio between two consecutive numbers in the sequence
Find the ratio of a term to its previous term
[tex]r = \frac{6}{-2} = -3\\\\r = \frac{-18}{6} = -3\\\\r = \frac{54}{-18} = -3[/tex]
Thus the common ratio of the sequence is -3