Ch 32: Working with Sequences & Series

About This Chapter

Watch these video lessons to learn about how sequences and series are used in precalculus. Complete the quizzes that accompany each lesson to get practice with these mathematical concepts.

Working with Sequences & Series - Chapter Summary and Learning Objectives

Develop your understanding of how to work with sequences and series with this chapter. These lessons will help you assess the theorems and principles associated with sequences and series to ensure your understanding. As you complete these lessons, you'll be increasing what you know about:

  • Recursive rules
  • Types of series and special sequences
  • Mathematical induction and the value of an annuity
  • The binomial theorem and the fundamental counting principle
  • Math combinations and permutations

Video Objective
Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences Analyze the uses of recursive formulas.
Arithmetic and Geometric Series: Practice Problems Evaluate real life examples of arithmetic and geometric series
Mathematical Induction: Uses & Proofs Focus on explaining and learning to use mathematical induction.
How to Find the Value of an Annuity Consider the steps to finding the value of an annuity.
How to Use the Binomial Theorem to Expand a Binomial Assess the uses of the binomial theorem.
Special Sequences and How They Are Generated Classify special sequences by name.
How to Use the Fundamental Counting Principle Appraise the uses of the fundamental counting principle.
Math Combinations: Formula and Example Problems Categorize and understand various combinations.
How to Calculate a Permutation Break down the steps for calculating a permutation.

9 Lessons in Chapter 32: Working with Sequences & Series
Test your knowledge with a 30-question chapter practice test
Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

1. Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

When dealing with sequences in math, both algebraic and geometric, we come across recursive rules. Watch this video lesson to learn how recursion works and how you can use a recursive rule to get to your next number using a previous number.

Arithmetic and Geometric Series: Practice Problems

2. 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!

Mathematical Induction: Uses & Proofs

3. Mathematical Induction: Uses & Proofs

Watch this video lesson to learn about mathematical induction and how you can use it to prove mathematical statements. See how it is similar to falling dominoes.

How to Find the Value of an Annuity

4. How to Find the Value of an Annuity

Want to see how much money you will have in the future if you make a set payment every month towards your annuity? Then watch this video lesson for the formula and how to use it.

How to Use the Binomial Theorem to Expand a Binomial

5. How to Use the Binomial Theorem to Expand a Binomial

In this video lesson, you will see what the binomial theorem has in common with Pascal's triangle. Learn how you can use Pascal's triangle to help you to easily expand a binomial.

Special Sequences and How They Are Generated

6. Special Sequences and How They Are Generated

Sequences are interesting things in math and in nature. The most interesting thing is that these sequences have a pattern to how they are generated. We will learn about a few of them in this video lesson.

How to Use the Fundamental Counting Principle

7. How to Use the Fundamental Counting Principle

There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.

Math Combinations: Formula and Example Problems

8. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

How to Calculate a Permutation

9. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

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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