The given sequence is: 8, 6, 9, 5, 10, 4, 11.
To find the next number in this sequence, we need to analyze the pattern. Let’s break it down:
- Start with 8
- Subtract 2 to get 6
- Add 3 to get 9
- Subtract 4 to get 5
- Add 5 to get 10
- Subtract 6 to get 4
- Add 7 to get 11
The pattern alternates between subtracting an increasing even number and adding an increasing odd number:
- Subtract 2, then Add 3
- Subtract 4, then Add 5
- Subtract 6, then Add 7
So, to find the next number:
- The last operation was adding 7 (to get 11).
- The next operation should be to subtract 8.
So, 11 – 8 = 3.
Therefore, the next number in the sequence is 3.