The given sequence is 3, 9, 27, 81. To find the next three terms, we first need to identify the pattern in the sequence.
Let’s analyze the terms:
- The first term is 3.
- The second term is 9, which is 3 x 3.
- The third term is 27, which is 9 x 3 or 3 x 3 x 3 (which is 3^3).
- The fourth term is 81, which is 27 x 3 or 3 x 3 x 3 x 3 (which is 3^4).
From this analysis, we can see that each term in the sequence is obtained by multiplying the previous term by 3. This indicates that the sequence is a geometric sequence with a common ratio of 3.
Now, let’s calculate the next three terms:
- 81 x 3 = 243 (5th term)
- 243 x 3 = 729 (6th term)
- 729 x 3 = 2187 (7th term)
Therefore, the next three terms of the sequence are 243, 729, and 2187.