Final answer:
The NTH term of the sequence can be represented by the formula n/4 + 2, where n is the number of weeks.
Step-by-step explanation:
To represent the NTH term of the sequence, we can use the formula n/4 + 2, where n is the number of weeks. This formula takes into account the initial distance of 2 miles and the increase of a quarter mile each week. For example, in the second week (n=2), the daily distance would be 2/4 + 2 = 2.5 miles, and in the third week (n=3), the daily distance would be 3/4 + 2 = 2.75 miles.