To determine the number of terms between 11 and 200 that are divisible by 7 but not by 3, we need to find all the numbers within this range that satisfy both conditions.

First, let`s find the number of terms divisible by 7 within this range. The smallest number divisible by 7 in this range is 14, and the largest is 196. So, we have:

14, 21, 28, 35, ..., 189, 196

To find the number of terms, we can use the formula:

Number of terms = (largest term - smallest term) / common difference + 1

The common difference in this case is 7. So, we have:

Number of terms = (196 - 14) / 7 + 1 = 28

However, we also need to exclude the terms that are divisible by both 7 and 3. These numbers are 21, 42, 63, ..., 189.

To find the number of terms divisible by both 7 and 3, we can divide the largest term divisible by 7 and 3 (189) by their least common multiple, which is 21. So, we have:

Number of terms divisible by