To find the next three terms in the sequence, we first need to identify the pattern in the given numbers: 3, 12, 21.
Let’s look at the differences between the consecutive terms:
- 12 – 3 = 9
- 21 – 12 = 9
We can see that the difference between the first and second term, and the second and third term, is 9. This suggests that the sequence increases by 9 for each subsequent term.
Continuing this pattern:
- The next term after 21 would be: 21 + 9 = 30
- The term after 30 would be: 30 + 9 = 39
- The term after 39 would be: 39 + 9 = 48
Thus, the next three terms in the sequence are 30, 39, and 48.