The common ratio of the given geometric sequence defined by the formula a_n = 3 * (2/3ⁿ is (2/3).
The question revolves around identifying the common ratio of a geometric sequence defined by the explicit formula a_n = 3 * (2/3)ⁿ In a geometric sequence, each term is derived by multiplying the previous term by a constant value called the common ratio. Looking at the given formula, the common ratio can be identified as the base of the exponential term. Therefore, in the formula presented, the common ratio is (2/3), since that is the value by which 3 is being repeatedly multiplied to obtain successive terms in the sequence.