Final answer:
Trista will run 26 miles in the 13th week of her marathon training plan, where she will increase her running distance by 2 miles each week.
Step-by-step explanation:
Trista is following a straightforward linear progression in her marathon training plan, where she increases her running distance by a constant amount each week. To find out how many weeks she will run 26 miles, we can set up a simple arithmetic sequence.
The sequence begins at 2 miles and increases by 2 miles each week. Therefore, the distance Trista runs in week n is given by the formula: D = 2 + 2(n - 1), where D is the distance run and n is the number of the week.
For the week she plans to run 26 miles, we will have: 26 = 2 + 2(n - 1). Solving for n, we get:
- 26 = 2 + 2n - 2
- 26 = 2n
- n = 26 / 2
- n = 13
Thus, Trista will run 26 miles on the 13th week of her training plan.