In this lesson, you will learn how a function can be represented by two different equations. You will find any term of an arithmetic sequence directly, by using the $n^{\text{th}}$ term formula to find any term number $n$.

When you finish this lesson, you will be able to:

• Describe the $n^{\text{th}}$ term.
• Find terms of sequences directly.
• Explain why different equations can represent the same sequence.

Here are the activities that will help you reach those goals:

• 4.18.1 Repeated Operations
• 4.18.2 Identifying Domain for a Function
• 4.18.3 Define an Arithmetic Sequence by the $n^{\text{th}}$ Term
  • 4.18.3: Self Check
  • 4.18.3: Additional Resources
• 4.18.4 Define a Geometric Sequence by the $n^{\text{th}}$ Term
  • 4.18.4: Self Check
  • 4.18.4: Additional Resources
• 4.18.5 Interchanging between Formulas
  • 4.18.5: Self Check
  • 4.18.5: Additional Resources
• 4.18.6 Different Types of Equations

After that, you'll practice and review.

• 4.18.7 Practice
• 4.18.8 Lesson Summary