In the given sequence (2, 1.5, 1.333, 1.25, 1.2,....), we can see that each subsequent term is getting closer to the value of 1.1666.

Now, let's go through each option and determine which one matches the pattern:

A. 1.1666: This option matches the pattern and is the correct answer. Each term in the sequence is getting closer to the value of 1.1666, and this option represents that value accurately.

B. 1.2666: This option does not match the pattern. The terms in the sequence are not getting closer to the value of 1.2666.

C. 1.5666: This option does not match the pattern. The terms in the sequence are not increasing and are not getting closer to the value of 1.5666.

D. 1.6666: This option does not match the pattern. The terms in the sequence are not getting closer to the value of 1.6666.

Therefore, the correct answer is A. 1.1666.