**plz help** The Students' Conjectures: Two students, Ernest and Denise, are training for a swim half-marathon in 10 weeks, and they disagree about their training schedule. If they follow Ernest's suggested training schedule, will they be ready to swim 5 km in time for the half-marathon? 1. Complete the table to summarize each student’s suggested training schedule. (2 points: 1 point for each row of the chart)
Classmate Conjecture
Ernest

Denise

2. Do the distances they swim every week make an arithmetic sequence? Why? (1 point)

Analyzing the Data:

3. Fill out the schedules for the first four weeks of training. (2 points: 1 point for each person)
Ernest's Schedule Denise's Schedule
Week Kilometers to swim daily Week Kilometers to swim daily
1 1
2 2
3 3
4 4

4. Write the recursive formula for each sequence: an = an – 1 + d.
(4 points: 2 point for each formula)
Student d Recursive formula
Ernest
Denise

5. Find the explicit formula for each arithmetic sequence: an = a1 + (n – 1) • d.
(4 points: 2 points for each formula)
Student Explicit formula
Ernest
Denise

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)