Participation Prompt Week 4, Day 5 (Saturday), MyMathLab® Week 4 Homework

Participation Prompt Week 4, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with arithmetic and geometric sequences and series.

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View one of the following Week 4 videos:

Answer the following question:

  • Given any sequence, how can you determine if it is an arithmetic sequence? Provide an example in your explanation.

Prompt 2

View one of the following Week 4 videos:

Answer the following questions:

  • If you were given a recursion formula, how would you determine the next three terms? How would you determine the 25th term?
    • Provide an example and the steps you would take to solve for these terms. Hint: Use a recursion formula found on p. 708 of College Algebra.

Prompt 3

View one of the following Week 4 videos:

Answer the following question:

  • Suppose you are provided with an arithmetic sequence. How can you find the sum of n terms of the sequence without having to add all of the terms? Provide an example in your explanation.

Prompt 4

View the following Week 4 videos:

Answer the following question:

  • With any sequence, how can you determine which type of sequence it is? Provide an example in your explanation.

Prompt 5

View one of the following Week 4 videos:

Answer the following question:

  • Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms? Provide an example in your explanation.

Prompt 6

View one of the following Week 4 videos:

Solve the following problem:

  • Research the price of the car of your dreams. Calculate the value it would be at the end of n years with the sequence vn = (Dream car Price)(3/4)n, n = 1, 2, 3…
    • Find the fifth term and explain what this value represents.
    • Describe the nth term of the sequence in terms of the value of your car at the end of each year.

Prompt 7

View one of the following Week 4 videos:

Solve the following problem:

  • A ball is bouncing to a height that is one third of the previous height after every bounce.
    • What kind of sequence is this?
    • How could you find the total distance travelled by the ball? Provide an example in your explanation.

Prompt 8

View one of the following Week 4 videos:

Solve the following problem:

  • One person tells another individual a rumor and that individual tells two people, then they both tell two other people.
    • Is this considered an arithmetic or geometric sequence? Explain your answer.

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MyMathLab® Week 4 Homework

The purpose of this graded assignment is to help you to obtain the necessary practice in order to fully comprehend the weekly learning objectives. You will have 7 attempts to complete each problem in the assignment, and you will have access to the Help Me Solve This or View an Example features. The use of Help Me Solve This will result in loss of an attempt at the problem.

Complete the following steps to access the MyMathLab® Homework for Week 4:

  1. Access the Practice/Simulation/Homework/Game tab.
  2. Select External Content Launch to open MyMathLab®.
  3. Select Homework and Tests in MyMathLab® on the top-left corner of the screen.
  4. Select Week 4 Homework.