Final answer:
The value of r in the geometric series 1/4, 1, 4, 16, 64 is 4.
Step-by-step explanation:
To find the value of r in the geometric series 1/4, 1, 4, 16, 64, we need to determine the common ratio between consecutive terms. The common ratio (r) can be found by dividing any term by its previous term. Let's take the third term, 4, and divide it by the second term, 1. We get 4/1 = 4. Therefore, the value of r is 4.