In this sequence, we can analyze how the numbers are generated. The difference between consecutive numbers seems to be growing:
- 2 – 1 = 1
- 4 – 2 = 2
- 7 – 4 = 3
- 11 – 7 = 4
- 22 – 11 = 11
Looking closely at the differences, we see a pattern in the differences themselves, which are 1, 2, 3, and 4. The next difference appears to follow this pattern, increasing by 1 each time. Therefore, the next difference after 4 would be 5. If we add this next difference to the last known number in the sequence:
11 + 5 = 16
This would suggest that the complete sequence is: 1, 2, 4, 7, 11, 16, and then 22. Hence, the number that fits best in this context is 16.