# Ch 21: Algebra II - Sequences and Series: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra material will benefit from taking this course. There is no faster or easier way to learn high school algebra. Among those who would benefit are:

- Students who have fallen behind in understanding finite and infinite sequences or working with factorial notation
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about sequences and series
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Algebra II: Sequences and Series chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Algebra II: Sequences and Series chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any sequences and series question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an Algebra II: Sequences and Series unit of a standard high school Algebra II course. Topics covered include:

- How to use series and summation notation
- Arithmetic sequences and series
- Formula for infinite geometric series
- Geometric sequences
- Special sequences

### 1. Introduction to Sequences: Finite and Infinite

In this video lesson, we will learn about the many patterns that are possible in sequences. See how some sequences stop after a while and how some sequences never stop.

### 2. How to Use Factorial Notation: Process and Examples

Watch this video lesson to learn about factorial notation. Understand what it means so that you can handle it like a pro. Also see what happens when we divide factorials.

### 3. How to Use Series and Summation Notation: Process and Examples

Have you ever seen a sideways M on a math test and wondered what it meant? In this video lesson, learn about the notation that we use to show that we want to sum something up. Learn how to use it and see some examples of it in use.

### 4. Arithmetic Sequences: Definition & Finding the Common Difference

Watch this video lesson to learn the pattern that defines an arithmetic sequence. Learn how to identify arithmetic sequences as well as find the pattern easily. You will also learn the formula you can use to write any number in your sequence.

### 5. How and Why to Use the General Term of an Arithmetic Sequence

Watch this video lesson to learn the formula for the general term of an arithmetic sequence. Also learn why this formula makes working with an arithmetic sequence much easier.

### 6. The Sum of the First n Terms of an Arithmetic Sequence

In this video lesson, you will learn an easy to use formula for summing an arithmetic sequence. Watch as we use the formula in action and then get a chance to use it yourself as you follow along.

### 7. Understanding Arithmetic Series in Algebra

In this video lesson, we will learn about arithmetic series and how they work. Learn also how to find the pattern of an arithmetic sequence along with finding the sum.

### 8. Working with Geometric Sequences

In this video lesson, we'll learn how to recognize when a sequence of numbers is a geometric sequence, how to find the common ratio and how to expand a sequence to as many numbers as we want!

### 9. How and Why to Use the General Term of a Geometric Sequence

Watch this video lesson to learn the formula for the general term of a geometric sequence. You will learn how to write your own general term given a particular geometric sequence as well as the reason for doing this.

### 10. The Sum of the First n Terms of a Geometric Sequence

Watch this video lesson to learn how you can find the total of a geometric sequence up to a certain point. Learn the formula that you can use to help you find your answer.

### 11. Understand the Formula for Infinite Geometric Series

Watch this video lesson to learn how to calculate the sum of an infinite geometric series. Learn about the interesting thing that happens when your common ratio is less than one.

### 12. 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.

### 13. Using Sigma Notation for the Sum of a Series

In math, we have a notation for a lot of things. When you need to sum up a series, we also have a notation for that. You will learn about this notation, called Sigma notation, in this video lesson.

### 14. 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.

### 15. 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.

### 16. 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.

### 17. 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.

### 18. Sigma Notation: Rules, Formulas & Examples

Sigma notation is a great shortened way to add a series of numbers, but it can be intimidating if you don't understand how to read it. In this lesson, we'll be learning how to read Greek letters and see how easy sigma notation is to understand.

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### Other Chapters

Other chapters within the High School Algebra II: Help and Review course

- Algebra II - Basic Arithmetic Review: Help and Review
- Algebra II - Algebraic Expressions: Help & Review
- Algebra II - Real Numbers: Help and Review
- Algebra II - Complex and Imaginary Numbers Review: Help and Review
- Exponents & Exponential Expressions in Algebra: Help & Review
- Algebra II - Properties of Functions Review: Help and Review
- Algebra II - Linear Equations Review: Help and Review
- Algebra II - Systems of Linear Equations: Help and Review
- Algebra II - Inequalities Review: Help and Review
- Algebra II - Matrices and Determinants: Help and Review
- Algebra II - Absolute Value Review: Help and Review
- Algebra II - Polynomials: Help and Review
- Algebra II - Factoring: Help and Review
- Algebra II Quadratic Equations: Help and Review
- Algebra II - Rational Expressions: Help and Review
- Algebra II - Graphing and Functions: Help and Review
- Algebra II - Roots and Radical Expressions Review: Help and Review
- Algebra II - Quadratic Equations: Help and Review
- Algebra II - Exponential and Logarithmic Functions: Help and Review
- Algebra II - Conic Sections: Help and Review
- Algebra II - Sets: Help and Review
- Algebra II - Combinatorics: Help and Review
- Algebra II Ratios & Proportions: Help & Review
- Algebra II - Statistics: Help and Review
- Algebra II - Trigonometry: Help and Review