The next number in the series 3, 4, 6, 7, 9, 10 is

Check how much each number differs from the previous one. Is there any pattern?

12,13,15,16

Right.

To find the pattern in the given series and determine the next number, let's analyze the sequence:

3, 4, 6, 7, 9, 10

Looking closely, we can notice that the pattern alternates between adding 1 and adding 2. Specifically, the sequence is formed by adding 1, then adding 2, then adding 1, and so on.

If we break down the pattern in terms of addition, we can see:

3 + 1 = 4
4 + 2 = 6
6 + 1 = 7
7 + 2 = 9
9 + 1 = 10

So, the next number in the sequence would be obtained by adding 2 to the last number:

10 + 2 = 12

Therefore, the next number in the series is 12.