Final answer:
The recursive rule for the given sequence an = 1/3 * 4ⁿ is an = 4 * an-1.
Step-by-step explanation:
To create a recursive rule for the given sequence, an = 1/3 * 4ⁿ, we need to determine the relationship between each term and the previous term. In this case, each term is obtained by multiplying the previous term by 4. So, the recursive rule for this sequence is an = 4 * an-1.