Ch 5: Sequences and Series for Calculus

About This Chapter

Here you can gain a solid understanding of mathematical series and sequences. Our expert instructors guide you through their classification, summation, notation, and calculation with realistic examples and practice problems.

Sequences and Series for Calculus - Chapter Summary

Understanding how to evaluate series and sequences is an important foundation to exploring logarithmic and polynomial functions in calculus. In this chapter, we help you build that base through interesting videos filled with great instruction and entertaining graphics. Our instructors will give you loads of examples and practical applications as you explore sequences and series. Don't forget to take the self-assessments to make sure you're on track. The topics covered here include:

  • Definitions of sequences and series
  • Classifications of sequences
  • Series notation and calculations

Video Objective
What is a Mathematical Sequence? Learn what a sequence is and what their importance is in mathematics.
How to Find and Classify an Arithmetic Sequence Review the basics of describing sequences, in words and formulas.
Finding and Classifying Geometric Sequences Explore sequence notation and exponential functions.
Summation Notation and Mathematical Series Use sigma to describe sequences and series.
How to Calculate an Arithmetic Series Learn how to quickly calculate the total number of items in a basic series using the summation equation discovered by Gauss.
How to Calculate a Geometric Series See formula for solving geometric series.
Arithmetic and Geometric Series: Practice Problems Explore classic sequence/series problems,

6 Lessons in Chapter 5: Sequences and Series for Calculus
Test your knowledge with a 30-question chapter practice test
What is a Mathematical Sequence?

1. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

How to Find and Classify an Arithmetic Sequence

2. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

Finding and Classifying Geometric Sequences

3. Finding and Classifying Geometric Sequences

Want your YouTube video to get a lot of hits? Besides including a cute baby or an adorable cat, getting your video to have a big common ratio is the key. Learn what I'm talking about here!

How to Calculate an Arithmetic Series

4. How to Calculate an Arithmetic Series

In this lesson, you'll learn how to sum up any arithmetic sequence without having to add up each and every term. You'll never guess the circumstances that led to the discovery of this marvelous formula.

How to Calculate a Geometric Series

5. How to Calculate a Geometric Series

If you're not satisfied with knowing how many views your YouTube video will get any one day and need to know how many total views you're getting, geometric series are for you! Learn more in this lesson.

Arithmetic and Geometric Series: Practice Problems

6. Arithmetic and Geometric Series: Practice Problems

There are many different types of problems concerning series and sequences - including some that are pretty abstract. From bouncing balls to adding up odd numbers, test your skills here with additional arithmetic and geometric series practice!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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