# 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:

- Khan Academy: Sequences Intro
- Khan Academy: Evaluating Sequences in Recursive Form
- Patrick Just Math Tutorials: Arithmetic Sequences: A Quick Intro
- Khan Academy: Intro to Arithmetic Sequences
- Khan Academy: Explicit Formulas for Arithmetic Sequences

**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:

- Khan Academy: Evaluating Sequences in Recursive Form
- Patrick Just Math Tutorials: Arithmetic Sequences: Finding a General Formula Given Two Terms
- Khan Academy: Sequences Intro

**Answer **the following questions:

- If you were given a recursion formula, how would you determine the next three terms? How would you determine the 25
^{th}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*.

- Provide an example and the steps you would take to solve for these terms.

**Prompt 3**

**View** one of the following Week 4 videos:

- Khan Academy: Intro to Finite Arithmetic Series
- Khan Academy: Sigma Notation for Sums

**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:

- Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
- Patrick Just Math Tutorials: Arithmetic Sequences: A Quick Intro

**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:

- Khan Academy’s: Finite Geometric Series
- Khan Academy’s: Finite Geometric Series Word Problem: Social Media

**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:

- Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
- Khan Academy: Using Explicit Formulas of Geometric Sequences
- Khan Academy: Finite Geometric Series
- Khan Academy: Finite Geometric Series Word Problem: Social Media

**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*v*= (Dream car Price)(3/4)_{n},^{n}*n*= 1, 2, 3…- Find the fifth term and explain what this value represents.
- Describe the
*n*th 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:

- Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
- Khan Academy: Explicit and Recursive Formulas of Geometric Sequences
- Khan Academy: Using Explicit Formulas of Geometric Sequences

**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:

- Khan Academy: Sequences Intro
- Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro

**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.

*Note*: All Khan Academy content is available for free at www.khanacademy.org.

# 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:

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