# Ch 23: ACT Math: Sequences

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### About This Chapter

## ACT Math: Sequences - Chapter Summary

When dealing with sequences, or patterns, a variety of mathematics skills come into play. You'll need a firm foundation of basic algebra skills, in addition to a grasp of the following higher math topics:

- Finding and classifying arithmetic sequences
- Defining mathematical sequences
- Finding and classifying geometric sequences

After completing each video lesson, you can take the short quiz to be sure that you're hitting the target. Go back and review if you haven't yet mastered all of the concepts.

### ACT Math Objectives

The following is a breakdown of the ACT math content:

- 23% Pre-algebra
- 17% Elementary algebra
- 15% Intermediate algebra
- 15% Coordinate geometry
- 23% Plane geometry
- 7% Trigonometry

The entire math section of the ACT is composed of 60 multiple-choice questions, and you'll have 60 minutes to complete the exam. Testing for sequences and patterns falls under intermediate algebra, but your basic math foundation in many areas will be useful. Intermediate algebra skills tested on the ACT:

- Quadratic formula
- Radical and rational expressions
- Absolute value equations and inequalities
- Sequences and patterns
- Systems of equations
- Quadratic inequalities
- Functions
- Modeling
- Matrices
- Roots of polynomials
- Complex numbers

Our short, video lessons and quick quizzes address what you'll need to know about sequences and patterns. You'll be pulling together all of your logic skills in solving the exam's practical math questions.

You can solve all of the problems without a calculator, but you may use an approved model of calculator, if you wish. Check the ACT student site for details. Your math ACT scores will include one score for the 60 questions, in addition to sub-scores for combinations of algebra, geometry and trigonometry.

### 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!

### 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!

### 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!

### 4. Summation Notation and Mathematical Series

The capital Greek letter sigma might be most recognizable as a common symbol in a fraternity or sorority, but it's used for some pretty cool math tricks too. In this lesson, learn how to use sigma for things like determining how many seats are in Michigan Stadium.

### 5. 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.

### 6. 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.

### 7. 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!

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### Other Chapters

Other chapters within the ACT Prep: Practice & Study Guide course

- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Rhetorical Strategy
- ACT English: Organization
- ACT English: Style
- ACT Math: Overview
- ACT Math: Pre-Algebra
- ACT Math: Algebraic Expressions
- ACT Math: Radicals
- ACT Math: Linear Equations
- ACT Math: Functions
- ACT Math: Absolute Value
- ACT Math: Matrices
- ACT Math: Inequalities
- ACT Math: Probability, Combinations & Factorial
- ACT Math: Data and Statistics
- ACT Math: Exponents
- ACT Math: Polynomials and Quadratics
- ACT Math: Rational Equations and Expressions
- ACT Math: Complex Numbers
- ACT Math: Exponentials and Logarithms
- ACT Math: Coordinate Geometry
- ACT Math: Conic Sections
- ACT Math: Triangles
- ACT Math: Plane Geometry
- ACT Math: Logic in Mathematics
- ACT Math: Trigonometry
- ACT Science Reasoning: Overview
- ACT Science Reasoning: Fundamentals of Science
- ACT Reading: Overview
- ACT Reading: Question Types
- ACT Reading: Understanding Reading Passages
- ACT Reading: Literary Terms
- ACT Reading: Practice
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Writing: Parts of an Essay
- ACT Writing: Planning and Writing
- ACT Writing: Advanced Writing Skills