The sequence presented follows a specific pattern that can be identified by analyzing the differences between consecutive numbers. Let’s break it down step by step.
- The first number is 3.
- The second number is 4 (which is 3 + 1).
- The third number is 6 (which is 4 + 2).
- The fourth number is 9 (which is 6 + 3).
- The fifth number is 13 (which is 9 + 4).
- The sixth number is 18 (which is 13 + 5).
- The seventh number is 24 (which is 18 + 6).
Now, let’s look at the differences between the numbers:
- 4 – 3 = 1
- 6 – 4 = 2
- 9 – 6 = 3
- 13 – 9 = 4
- 18 – 13 = 5
- 24 – 18 = 6
We can see that the difference increases incrementally by 1 each time:
- 1, 2, 3, 4, 5, 6
Following this trend, the next difference would be 7. To find the next number in the sequence, we add this difference to the last number:
- 24 + 7 = 31
Therefore, the next number in the sequence is 31.