To find the next term in the sequence 13, 1, 3, 9, 27, let's first examine the pattern in the numbers following 13.
Starting from 1, we can see that:
- 1 to 3 is multiplied by 3 (1 × 3 = 3)
- 3 to 9 is multiplied by 3 (3 × 3 = 9)
- 9 to 27 is multiplied by 3 (9 × 3 = 27)
Following this pattern, to find the next term after 27:
27 × 3 = 81
Thus, the next term in the sequence is 81.