What is the next number in the series 4,12,6,9,8,6

The next number is going to be 10.

Step-by-step explanation:

The odd term of the series, for example, the 1st term, 3rd term, 5th term and so on are figured out by adding 2 to each of the preceding term.

and the even term of the series, for example, the 2nd term, 4th term, 6th term, 8th term, etc, are figured out by subtracting 3 to each of the preceding term.

For example -

odd series is:

4+2=6

6+2=8

8+2=10

even term of the series:

12-3=9

9-3=6