Final answer:
The missing number in the sequence is found by subtracting 1 from the first term; the correct answer is B) -16/3.
Step-by-step explanation:
The student's question is asking for the missing number in the sequence -14/3, ___, -17/3. The sequence is likely decreasing by the same amount each step. To find the common difference, we can subtract the first term from the second term in the sequence. When we subtract successive terms (-17/3 - (-14/3)), we get -1. This means that the sequence is decreasing by 1 each step. Therefore, the missing number in the sequence would be -14/3 - 1 = -14/3 - 3/3 = -17/3. So the answer is B) -16/3.