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

Solution:

In order to guess the next number, we need to recognize the pattern in the series.

We can see the terms at the odd position (4, 6, 8)  and the terms at the even position (12, 9, 6) form a pattern in the given sequence.

Taking the terms at the even position i.e  12, 9, and 6, we can observe,

12 - 3 = 9

9 - 3 = 6

Now, let us observe the terms at the odd position i.e 4, 6, and 8.

4 + 2 = 6

6 + 2 = 8

Since the missing number is following this series, the next term will be 8 + 2 = 10

Hence, the next number in the series: 4, 12, 6, 9, 8, 6,__ is 10

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

Summary:

The next number in the series: 4, 12, 6, 9, 8, 6,__ is 10