Ch 5: Michigan Merit Exam - Math: Sequences & Iteration

About This Chapter

You have come to the right place if you're looking for study guides to help you with sequences and iteration for the math portion of the Michigan Merit Exam. Our brief video lessons and quizzes will help you become accustomed to answering similar questions on exam day.

Michigan Merit Exam - Math: Sequences & Iteration

In this chapter, you will enjoy brief video lessons about infinite and finite sequences. You will also learn about the formulas involved in arithmetic sequences. These lessons will enable you to answer questions about the following topics:

  • Definitions of finite and infinite sequences
  • Terms and definition of an arithmetic sequence
  • Reasons and purposes for the general term and sum of the first in arithmetic sequences
  • Definition and characteristics of an algebraic arithmetic sequence
  • Geometric sequence and formula involved in the sum of the first
  • Ways to utilize iterative processes in math

If you answer any of their quiz questions incorrectly, you can watch the parts of the videos that provide explanations of the correct answers. You can also review the lessons in this chapter with ease by reading over the video transcripts which contain bold printed keywords. If you have any questions, you can ask our instructors or experts.

Michigan Merit Exam - Math: Sequences & Iterations Objectives

The lessons in this chapter correspond to the Algebra and Functions subject of the 4-part math portion of the Michigan Merit Exam. Students will be responsible for answering approximately 25 multiple-choice math questions that will be administered on 1 of the 3 test days. They may also be asked to solve inequalities and group functions.

10 Lessons in Chapter 5: Michigan Merit Exam - Math: Sequences & Iteration
Test your knowledge with a 30-question chapter practice test
Introduction to Sequences: Finite and Infinite

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.

Arithmetic Sequences: Definition & Finding the Common Difference

2. 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.

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

3. 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.

The Sum of the First n Terms of an Arithmetic Sequence

4. 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.

Understanding Arithmetic Series in Algebra

5. 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.

Working with Geometric Sequences

6. 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!

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

7. 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.

The Sum of the First n Terms of a Geometric Sequence

8. 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.

Understand the Formula for Infinite Geometric Series

9. 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.

Using Iterative Processes to Solve Math Problems

10. Using Iterative Processes to Solve Math Problems

In this lesson, we will discuss what an iterative process is in general, and then we will look at how to use various iterative processes to solve problems in mathematics and the real world.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

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