Given that 4, 12 x y 324 972 is a geometric sequence of x y

To find the common ratio in a geometric sequence, we need to divide any term in the sequence by the previous term.

In this case, we can divide each term by the previous term to check if the ratio is consistent.

12 ÷ 4 = 3
y ÷ 12 = 3
324 ÷ y = 3
972 ÷ 324 = 3

Since the ratio of each term to the previous term is consistent and equal to 3, we can conclude that the common ratio in the sequence is 3.