Lesson 2

Example: Part-Time Job

 

Now that you have studied the relationship between arithmetic sequences and linear terms, you are ready to investigate the application of these principles in a problem-solving context. Work through Part-Time Job. See how you can use both sequences and linear functions to solve a problem related to earning income.

 

Throughout this interactive example you will be given a chance to try each step before you see the answer. Once you have tried a step, select the Check button to compare your solution to the solution provided in the example.

In Part-Time Job you should have discovered that you can use the properties of linear functions to set up and solve an arithmetic-sequence problem. Conversely, you can also use an arithmetic sequence to solve a problem involving linear functions!

 

Try This 2

 

Use the photo shown to respond to the following questions.

1. What is the significance of a staircase made of money?

2. What part of the lesson does the photo remind you of?

3. What is the connection between steps in a staircase and arithmetic sequences?

4. What other analogies can you think of that could be used to describe arithmetic sequences? You may wish to describe your thoughts in paragraph-form or to find a photo that represents your analogy.

Save your responses in your course folder.

 

Share 2

 

Share your responses to Try This 2 question 4 with a partner or group. Create a combined list of analogies used to describe arithmetic sequences.

 

Save a copy of this list in your course folder. You will need this list to complete the Lesson 2 Assignment.

 

Self-Check 2