Final answer:
To find the recursive formula of a geometric sequence, divide each term by the previous term to find the common ratio. Then use the formula an = an-1 * r to write the recursive formula.
Step-by-step explanation:
To find the recursive formula of a geometric sequence, we need to determine the common ratio. In this case, the common ratio is found by dividing each term by the previous term. Let's find the common ratio:
Rn = an+1 / an = 6 / (-1.5) = -4
Now we can write the recursive formula:
an = an-1 * r
an = -1.5 * (-4)^n