In this given sequence, we can notice that each number is increasing by a specific pattern. Let`s analyze the sequence to understand the pattern:

Starting from 0, the difference between the first and second numbers is 6 (6-0 = 6).

The difference between the second and third numbers is 18 (24-6 = 18).

The difference between the third and fourth numbers is 36 (60-24 = 36).

The difference between the fourth and fifth numbers is 60 (120-60 = 60).

The difference between the fifth and sixth numbers is 90 (210-120 = 90).

If we observe closely, we can see that the differences between consecutive numbers are increasing in an arithmetic progression: 6, 18, 36, 60, 90.

To find the next number, we need to add the next difference in the sequence. The next difference after 90 is 120. Adding 120 to the last number in the sequence (210) gives us the number 330.

Therefore, the next number in the sequence should be 336.

Alert - correct answer should be 336.