In this lesson, you learned how to:

• Define arithmetic and geometric sequences recursively using function notation.
• Represent a sequence in different ways.
• Ask questions to get the information needed to represent a sequence in different ways.

Here are the activities that helped you reach those goals:

• 4.17.1: Define a Sequence
  • In this activity, you reviewed identifying sequences as geometric, arithmetic, or neither.
• 4.17.2: What Is a Recursive Definition?
  • In this activity, you matched sequences with their recursive definitions.
  • 4.17.2: Self Check
  • 4.17.2: Additional Resources
• 4.17.3: Ways to Represent a Sequence
  • In this activity, you matched sequences with their recursive definitions and also represented the sequences on graphs.
  • 4.17.3: Self Check
  • 4.17.3: Additional Resources
• 4.17.4: Geometric Recursive Definitions
  • In this activity, you wrote a recursive definition given a geometric sequence. You then graphed the terms of the sequence.

After these activities, you completed the following practice:

• 4.17.5: Practice