What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?
since T4 = T2 * r^2, 6r^2 = 54
So r=3 (or, r = -3)
To find the common ratio of a geometric sequence, we need to find the ratio between two consecutive terms. In this case, we can find the common ratio by dividing the fourth term by the second term.
The second term is 6 and the fourth term is 54, so we divide 54 by 6:
54 / 6 = 9
The common ratio of the geometric sequence is 9.