# 5.1 Introduction to Infinite Sequences

In this lesson, you will learn about infinite sequences.

### Lesson Objectives

• Become proficient in the terminology and notation of sequences (including but not limited to: terms, subscripts, recurrence relations, explicit formulas, increasing, decreasing, nonincreasing, nondecreasing, monotonic, bounded).
• Establish convergence or divergence of a sequence by analyzing limits.
• Identify a geometric sequence and establish convergence or divergence.
• Use the Bounded Monotonic Sequence Theorem to establish convergence of bounded monotonic sequences.

### Lesson Content

View all of the following instructional videos. These will help you master the objectives for this module.

1. YouTube video: What is a Sequence? Basic Sequence Info
2. YouTube video: Sequences – Examples Showing Convergence or Divergence
3. YouTube video: Finding the Limit of a Sequence
4. YouTube video: Intro to Monotonic and Bounded Sequences
5. YouTube video: Bounded, Monotone Sequences
6. YouTube video: A Quick Intro to Geometric Sequences