To find the missing term in the sequence 2, 9/2, 28/3, 65/4, __, we need to identify the pattern or rule that governs the sequence.

Pattern:
Looking at the sequence, we can observe that each term is obtained by adding a specific value to the previous term. Let's examine the differences between consecutive terms:

- The difference between the second term and the first term is 9/2 - 2 = 5/2.
- The difference between the third term and the second term is 28/3 - 9/2 = 5/3.
- The difference between the fourth term and the third term is 65/4 - 28/3 = 5/4.

Rule:
From the pattern, it is clear that the differences between consecutive terms are constant and equal to 5 divided by the position of the term.

Using the Rule to Find the Missing Term:
To find the missing term, we need to find the difference between the fourth term and the missing term. Since the fourth term is 65/4 and the position of the fourth term is 4, we can calculate the difference as 5/4.

To find the missing term, we need to add this difference to the fourth term:

65/4 + 5/4 = 70/4 = 35/2 = 17.5

Therefore, the missing term in the sequence is 17.5.

Answer:
The correct answer is option 'A' - 126/5.