# Ch 32: CUNY Assessment Test in Math: Sequences & Series

### About This Chapter

## CUNY Assessment Test in Math: Sequences & Series - Chapter Summary

Use this chapter's lessons to review information on various types of sequences and their formulas as you prepare for the CUNY Assessment Test in Math. Our videos offer information that can help you with questions on:

- Factorials
- Finite and infinite sequences
- How to use the general term of an arithmetic and a geometric sequence
- Arithmetic series in algebra
- The formula for infinite geometric series
- The Fibonacci sequence
- How to use recursive rules for arithmetic, algebraic and geometric sequences

These lessons average about eight minutes in length, and you can watch them on a computer or mobile device as your schedule allows. A clickable timeline makes it easy to return to specific parts of the lesson that you wish to review, and you can monitor your progress through the lessons and quizzes on the Dashboard feature.

### CUNY Assessment Test in Math: Sequences & Series Chapter Objectives

New students at CUNY schools must take the CUNY Assessment Test in Math to determine their math proficiency for course placement. The test is divided into four sections, and questions on the material in this Sequences & Series chapter are in the section on college algebra.

You can prepare for the CUNY test by completing the quizzes that follow each lesson as well as the chapter test at the end of the chapter. These tests consist of multiple-choice questions, like those on the CUNY Assessment Test in Math, so taking them can give you experience with a test in this format. Our quizzes also offer an evaluation of your knowledge, pointing out spots where you need further review.

### 1. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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!

### 8. 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.

### 9. 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.

### 10. 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.

### 11. Fibonacci Sequence: Examples, Golden Ratio & Nature

The Fibonacci sequence is seen all around us. Learn how the Fibonacci sequence relates to the golden ratio and explore how your body and various items, like seashells and flowers, demonstrate the sequence in the real world.

### 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.

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### Other Chapters

Other chapters within the CUNY Assessment Test in Math: Practice & Study Guide course

- CUNY Assessment Test in Math: Basic Arithmetic Operations
- CUNY Assessment Test in Math: Properties of Numbers
- CUNY Assessment Test in Math: Number Theory
- CUNY Assessment Test in Math: Factoring
- CUNY Assessment Test in Math: Estimating & Rounding
- CUNY Assessment Test in Math: Whole Numbers
- CUNY Assessment Test in Math: Negative Numbers
- CUNY Assessment Test in Math: Integers
- CUNY Assessment Test in Math: Introduction to Decimals
- CUNY Assessment Test in Math: Operations with Decimals
- CUNY Assessment Test in Math: Introduction to Fractions
- CUNY Assessment Test in Math: Operations with Fractions
- CUNY Assessment Test in Math: Percents
- CUNY Assessment Test in Math: Ratios & Proportions
- CUNY Assessment Test in Math: Averages
- CUNY Assessment Test in Math: Probability
- CUNY Assessment Test in Math: Logic
- CUNY Assessment Test in Math: Matrix Operations & Determinants
- CUNY Assessment Test in Math: Exponents & Exponential Expressions
- CUNY Assessment Test in Math: Algebraic Expressions
- CUNY Assessment Test in Math: Linear Equations
- CUNY Assessment Test in Math: Inequalities
- CUNY Assessment Test in Math: Absolute Value
- CUNY Assessment Test in Math: Quadratic Equations
- CUNY Assessment Test in Math: Polynomials
- CUNY Assessment Test in Math: Rational Expressions
- CUNY Assessment Test in Math: Radical Expressions
- CUNY Assessment Test in Math: Systems of Equations
- CUNY Assessment Test in Math: Complex Numbers
- CUNY Assessment Test in Math: Functions
- CUNY Assessment Test in Math: Analytical Geometry
- CUNY Assessment Test in Math: Using Trigonometric Functions
- CUNY Assessment Test in Math: Trigonometric Graphs
- CUNY Assessment Test in Math: Solving Trigonometric Equations
- CUNY Assessment Test in Math: Trigonometric Identities
- CUNY Assessment Test in Math Flashcards