Answer: To find the common ratio of a geometric sequence, we divide any term in the sequence by the preceding term.
In this case, dividing each term by the preceding term gives:
9/6 = 3/2
(27/2)/9 = 3/2
(81/4)/(27/2) = 3/2
Since each division result in the same value, 3/2, we can conclude that the common ratio of the sequence is 3/2.
Therefore, the answer is:
R = 3/2
Explanation: