# Ch 21: Algebra II: Sequences and Series

Watch online video lessons to learn about sequences and series in algebra, including the formulas for various types. Each lesson is accompanied by a short multiple-choice quiz you can use to check your understanding of these math topics.

## Algebra II: Sequences and Series - Chapter Summary and Learning Objectives

In this chapter, you'll become familiar with the concept of sequences, which are sets for numbers in a particular order. A sequence can be finite, which means it has an end, or infinite, which means it goes on forever. A series is related to a sequence and is the sum of numbers in an infinite sequence. By the end of this chapter, you should be able to:

• Define infinite and finite sequences and give examples
• Use factorial and summation notation
• Define and write terms of an arithmetic sequence
• Explain the formula for the sum of an infinite geometric series
• Show the sum of a series using sigma notation
• Explain how to generate special sequences and name some examples

Video Objective
Introduction to Sequences: Finite and Infinite In this lesson, we'll examine what finite and infinite sequences are and learn to determine the sequence's particular terms.
How to Use Factorial Notation: Process and Examples You'll get information on using factorial notation, including when it's appropriate. Examples will help you become comfortable with the process.
How to Use Series and Summation Notation: Process and Examples Next, we'll look at using series and summation notation.
Arithmetic Sequences: Definition and Finding the Common Difference In this lesson, we'll learn what an arithmetic sequence is and how to find the common difference. We'll also learn to write terms for the sequence.
How and Why to Use the General Term of an Arithmetic Sequence Here, we examine the formula for an arithmetic sequence's general term and discuss when to use it.
The Sum of the First n Terms of an Arithmetic Sequence You'll learn how and when to utilize the formula that gives us the sum of an arithmetic sequence's first n terms.
Understanding Arithmetic Series in Algebra Now, we'll examine examples that help us understand what an arithmetic series is. We'll also learn to determine an arithmetic sequence's common difference.
Working with Geometric Sequences In this lesson, we'll study geometric sequences and learn what they are, how to determine the common ratio and write terms.
How and Why to Use the General Term of a Geometric Sequence You'll get information on using this formula and when it should be applied.
The Sum of the First n Terms of a Geometric Sequence You'll learn how and when to utilize the formula that gives us the sum of a geometric sequence's first n terms.
Understand the Formula for Infinite Geometric Series Now, we'll decide how and when to use the formula that gives us the sum of an infinite geometric series.
Using Recursive Rules for Arithmetic, Algebraic and Geometric Sequences Here, recursion formulas are examined.
Using Sigma Notation for the Sum of a Series You'll learn how to use sigma notation to depict the sum of a series.
Mathematical Induction: Uses and Proofs This lesson gives the definition and uses of mathematical induction and shows you, with examples, how to use it to prove statements.
How to Find the Value of an Annuity You'll put these rules to practical use by utilizing them to determine an annuity's value.
How to Use the Binomial Theorem to Expand a Binomial This lesson depicts how to expand a binomial with the binomial theorem.
Special Sequences and How They are Generated Learn about special sequences including Fibonacci numbers and triangular numbers and get information about their properties.

17 Lessons in Chapter 21: Algebra II: Sequences and Series
Test your knowledge with a 30-question chapter practice test
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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