1,2,6,33,49,174,210,?

The given sequence is 1, 2, 6, 33, 49, 174, 210, ?

On observing, it can be seen that the sequence is alternating between two different patterns.

Pattern 1: Multiply by 2 and then add 1 Pattern 2: Multiply by 3 and then subtract 1

Applying these patterns to the sequence:

1 * 2 + 1 = 2 2 * 3 - 1 = 6 6 * 2 + 1 = 13 13 * 3 - 1 = 38 38 * 2 + 1 = 77 77 * 3 - 1 = 230 230 * 2 + 1 = 461

So, the next number in the sequence should be 461.

Therefore, the missing number in the sequence is 461.