About This Chapter
COOP Exam: Math Sequences & Series - Chapter Summary
Watch this series of short and engaging video lessons to follow along with our expert instructors who can help you prepare for questions on the COOP exam about arithmetic and geometric sequences and series. After reviewing this chapter, you should have a firm knowledge about:
- Finding and classifying arithmetic and geometric sequences
- Evaluating and writing variable expressions of arithmetic sequences
- Summation notation
- Calculating arithmetic and geometric series
For an alternative review of these lessons, read the text transcripts which help you identify key vocabulary and terms from the chapter. Take the lesson quizzes to determine how well you understand the material presented in these lessons, and then use the video tags to go to the spots in the videos that explained these subjects. If you have any questions about the material of this chapter, be sure to ask our instructors for help.
COOP Exam: Math Sequences & Series Chapter Objectives
Before Catholic high schools in the state of New Jersey consider your application for admissions, you must complete the COOP exam. This exam is composed of seven subtests - including one on sequences and another on mathematics. This chapter has been put together to help you prepare for these subtests by helping you study the ways of classifying arithmetic and geometric sequences and calculating arithmetic and geometric series.
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. How to Evaluate & Write Variable Expressions for Arithmetic Sequences
Being able to figure out sequences as well as describe them are some of the most important skills in math. In this lesson, we learn how to evaluate and write arithmetic sequences and geometric sequences.
5. 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.
6. 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.
7. 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.
8. 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 within the COOP Exam - New Jersey: Practice & Study Guide course
- COOP Exam: Sequences & Analogies
- COOP Exam: Quantitative Reasoning
- COOP Exam: Verbal Reasoning & Word Meaning
- COOP Exam: Reading Interpretation & Analysis
- COOP Exam: Reading Comprehension & Language Expression
- COOP Exam: Numbers & Arithmetic Operations
- COOP Exam: Integers
- COOP Exam: Irrational & Rational Numbers
- COOP Exam: Inequalities
- COOP Exam: Estimation
- COOP Exam: Decimals
- COOP Exam: Fractions
- COOP Exam: Percent
- COOP Exam: Ratios, Rates & Proportion
- COOP Exam: Square Roots
- COOP Exam: Exponents & Exponential Expressions
- COOP Exam: Scientific Notation
- COOP Exam: Measurement
- COOP Exam: Introduction to Geometry
- COOP Exam: Geometric Shape Properties
- COOP Exam: Symmetry, Similarity & Congruence
- COOP Exam: Properties of Lines
- COOP Exam: Graphing Basics
- COOP Exam: Transformations
- COOP Exam: Triangles
- COOP Exam: Triangle Theorems & Proofs
- COOP Exam: The Pythagorean Theorem
- COOP Exam: Tables, Charts & Graphs
- COOP Exam: Data Analysis & Statistics
- COOP Exam: Probability & Permutations
- COOP Exam: Properties of Functions
- COOP Exam: Graphing Functions
- COOP Exam: Mathematical Reasoning
- COOP Exam - New Jersey Flashcards