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1 vote
Training Trista

is training for a marathon and is running 2 miles the first week she plans to add 2 miles each week to her training if the pattern continues after how many weeks will she run 26 miles

User Kahn
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2 Answers

6 votes

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.

3 votes
i think it’s 13 miles
User Semuzaboi
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8.0k points