Final answer:
To find the next three terms of the geometric sequence, we divide any term by its previous term to find the common ratio. Then, we multiply each term by the common ratio to find the subsequent terms.
Step-by-step explanation:
The given sequence is a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio. To find the next three terms, we need to identify the common ratio and use it to find the subsequent terms.
The common ratio can be found by dividing any term by its previous term. In this case, to find the common ratio, we divide 12 by 48, which is 1/4 or 0.25.
Using the common ratio of 0.25, we can find the next three terms by multiplying each term by 0.25 successively: 3 x 0.25 = 0.75, 0.75 x 0.25 = 0.1875, 0.1875 x 0.25 = 0.046875.