The next number in the sequence is 31.
To understand how we arrived at this solution, let’s look at the differences between each consecutive pair of numbers:
- 4 – 3 = 1
- 6 – 4 = 2
- 9 – 6 = 3
- 13 – 9 = 4
- 18 – 13 = 5
- 24 – 18 = 6
Now, we can observe that the differences between the numbers are increasing by 1 each time: 1, 2, 3, 4, 5, and 6. If we follow this pattern, the next difference should be 7.
Therefore, we add 7 to the last number in the sequence:
24 + 7 = 31.
So the next number in the sequence is 31.