To determine the next number in the sequence, let’s break down the pattern in the provided numbers. The series alternates between two different sequences:
- Odd indexed positions: 11, 13, 15, 17
- Even indexed positions: 22, 26, 30
In the odd indexed positions, the numbers increase by 2:
- 11 to 13 (increase by 2)
- 13 to 15 (increase by 2)
- 15 to 17 (increase by 2)
Following this pattern, the next odd indexed number would be 19.
In the even indexed positions, the numbers are increasing by 4:
- 22 to 26 (increase by 4)
- 26 to 30 (increase by 4)
The next number in this pattern would be 34 if we were to continue with this portion of the sequence. However, since the next number we seek follows the odd indexed portion, the answer is clearly 19.
Therefore, the next number in the sequence is 19.