Algebra 1 – Semester 2

Tips on how to successfully complete:

1.2.5 Journal: Arithmetic Sequences  

 

 

 

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The Students' Conjectures: Two students, Ernest and Denise, are training for a swim half-marathon in 10weeks, and they disagree about their training schedule. lf they follow Ernest's suggested training schedule, willthey be ready to swim 5 km in time for the tralf-marathon?

1. complete the table to summariz"ttsnw.?$3$'s suggested training schedute: (2 points: 1 point for eachrow of the chart)

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

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Classmate I Conjecture

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Write the recursive formula for each sequence:/a n= en_1+ d.

(2 points: 1 point for each formula)

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6' Usinq the explicit formula, calculate how far the students will be swimming on week 10 usinq Ernest'sschedule: (2 points) q E*AA/ Wb(fa

7. Using the exolicit formula, calculate how far the students will be swimming on week l0 using Wsschedule: (2 points' t ,*r,

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Denise

8' \Mat is thedomain for the functions describing Ernest's and Denise's training schedules? (1 point)

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Making a Decision

9. Mich training schedule will get them ready to swim 5 km in time for the half-marathon? (1 point)

10. Look at the two graphs below. \Mich one represents Ernest's training schedule?Erpleinllour answef. (2points)

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11' Sketch a graph of Denise's training schedule for the 10 weeks before the race. (1 point)

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