2do the distances they swim every week make an

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2.Do the distances they swim every week make an arithmetic sequence? Why? (1 point)Yes, these distances make an arithmetic sequence.
Analyzing the Data: Fill out the schedules for the first four weeks of training. (2 points: 1 point for each person) Ernest’s Schedule:
Week Kilometers to swim daily 1 1 2 1.25 3 1.5 4 1.75 Denise’s Schedule Week Kilometers to swim daily 1 1 2 1.5 3 2 4 2.5 4. Write the recursive formula for each sequence: a n = a – 1 + d . ( 4 points : 2 point for each formula) Student d Recursive formula Ernest 0.25 an= an– 1+ 0.25 Denise 0.5 an= an– 1+ 0.5 5. Find the explicit formula for each arithmetic sequence: a n = a 1 + ( n – 1) • n d . ( 4 points : 2 points for each formula)
6.Using the explicit formula, calculate how far the students will be swimming on week 10 using Ernest's schedule. (3 points)
7.Using the explicit formula, calculate how far the students will be swimming on week 10 using Denise's schedule. (3 points)
Making a Decision 8.Which training schedule will get them ready to swim 5 km in time for the half-marathon? (1 point)
.Denise's schedule, on the other hand, would get you to 5.5 kilometers on week 10 so her training schedule should be followed
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