Question

Neither nd the next three terms of each a. 4,12,36,108,dots

Answer 1

The next three terms of the geometric sequence 4, 12, 36, 108 are found by continually multiplying by 3, resulting in the terms 324, 972, and 2916.

Step-by-step explanation:

The sequence given is 4, 12, 36, 108, and it appears to be a geometric sequence where each term is obtained by multiplying the previous term by 3. To find the next three terms, we simply continue the pattern by multiplying each term by 3.

1. Multiply 108 by 3 to get the fifth term: 108 * 3 = 324.
2. Multiply 324 by 3 to get the sixth term: 324 * 3 = 972.
3. Multiply 972 by 3 to get the seventh term: 972 * 3 = 2916.

Therefore, the next three terms of the sequence are 324, 972, and 2916.