The answer is $\boxed{175}$.
The sequence is generated by multiplying the previous number by 2 and then subtracting 12. For example, the first number is 90, which is 2 times 45 minus 12. The second number is 180, which is 2 times 90 minus 12. The third number is 12, which is 2 times 6 minus 12. And so on.
The next number in the sequence is 175, which is 2 times 87.5 minus 12.
Here is a table showing the first few numbers in the sequence:
Number | Formula ------- | -------- 90 | 2 * 45 - 12 180 | 2 * 90 - 12 12 | 2 * 6 - 12 50 | 2 * 25 - 12 100 | 2 * 50 - 12 200 | 2 * 100 - 12 175 | 2 * 87.5 - 12
Option A, 150, is not in the sequence because it is not a multiple of 2.
Option B, 175, is in the sequence because it is a multiple of 2 and it is 12 less than the previous number in the sequence.
Option C, 225, is not in the sequence because it is not a multiple of 2.
Option D, 250, is not in the sequence because it is not a multiple of 2 and it is 12 less than the previous number in the sequence.