Find the next three terms of the sequence 3, 9, 27, 81

To find the next three terms of the sequence 3, 9, 27, 81, we first need to identify the pattern in the sequence.

Looking at the given terms:

• 3 (which is 3¹)
• 9 (which is 3²)
• 27 (which is 3³)
• 81 (which is 3⁴)

We can observe that each term is obtained by multiplying the previous term by 3:

• 3 x 3 = 9
• 9 x 3 = 27
• 27 x 3 = 81

This indicates that we are following a geometric sequence where the common ratio is 3.

To find the next terms:

• The fifth term: 81 x 3 = 243
• The sixth term: 243 x 3 = 729
• The seventh term: 729 x 3 = 2187

Thus, the next three terms in the sequence are 243, 729, and 2187.