The sequence you’ve provided is 4, 12, 6, 9, 8, 6. To find the next number in this series, let’s first analyze the pattern:
- The first number is 4.
- The second number, 12, is 4 multiplied by 3 (4 x 3 = 12).
- The third number, 6, can be seen as 12 divided by 2 (12 / 2 = 6).
- The fourth number, 9, is 6 plus 3 (6 + 3 = 9).
- The fifth number, 8, can be derived from 9 minus 1 (9 – 1 = 8).
- Finally, the sixth number, 6, is seen as 8 minus 2 (8 – 2 = 6).
From this breakdown, we can observe a pattern forming:
- Multiply by 3.
- Divide by 2.
- Add 3.
- Subtract 1.
- Subtract 2.
Now, to determine the next number:
- Following the pattern, after subtracting 2, it seems reasonable to continue this trend. The next logical step could involve the addition of 2, as a way to balance the operations related to earlier steps.
If we take the last number of 6 and add 2 to it:
- 6 + 2 = 8.
Therefore, the next number in the series is 8.