Final answer:
The explicit function for the given sequence is y = (1/4) * 4(n-1).
Step-by-step explanation:
The given sequence is 1/4, 1, 4, 16, 64, and so on. This is a geometric sequence where each term is obtained by multiplying the previous term by a common ratio. In this case, the common ratio is 4, as each term is obtained by multiplying the previous term by 4.
Therefore, a general formula for the nth term (y) of this sequence can be written as:
y = (1/4) * 4(n-1)