Final answer:
The recursive formula for the given sequence is an = an-1 * (2n - 1)/(n - 1).
Step-by-step explanation:
The given sequence is: 8, 6, 9 2, 27 8, 81 32, 243 128, ...
In order to find a recursive formula for this sequence, we need to look for a pattern. Taking a closer look, we can see that each term is obtained by multiplying the previous term by a fraction: for example, the second term (6) is obtained by multiplying the first term (8) by 6/8, the third term (9 2) is obtained by multiplying the second term (6) by 9/2, and so on.
Therefore, the recursive formula for this sequence is: an = an-1 * (2n - 1)/(n - 1).