To find the next number in the sequence 8, 6, 9, 5, 10, 4, 11, we need to examine the pattern exhibited by the numbers given.
First, let’s look at the odd and even indexed positions separately. The sequence can be split into two parts:
- Odd-indexed numbers: 8 (1st), 9 (3rd), 10 (5th), 11 (7th)
- Even-indexed numbers: 6 (2nd), 5 (4th), 4 (6th)
Now, analyzing the odd-indexed numbers:
- From 8 to 9, there’s an increase of 1.
- From 9 to 10, there’s also an increase of 1.
- From 10 to 11, again, we see an increase of 1.
This suggests that the next number in the sequence of odd-indexed numbers would likely continue this pattern. Therefore, the next number (in the odd position) following 11 would be:
- 11 + 1 = 12
Next, let’s examine the even-indexed numbers:
- From 6 to 5, there’s a decrease of 1.
- From 5 to 4, there’s again a decrease of 1.
Therefore, the next number in the even-indexed sequence after 4 would be:
- 4 – 1 = 3
Thus, the next two numbers following the established pattern would be 12 and 3. Since we are interested only in the next number in the entire sequence, the overall answer would be:
- The next number in the sequence is: 12