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Ch 21: MTTC Math (Secondary): Sequences

About This Chapter

Watch the short, engaging lesson videos of this chapter to prepare for questions on MTTC Mathematics (Secondary) exam about finite and infinite sequences, terms of arithmetic and geometric sequences, classifications of geometric sequences and binomial theorem.

MTTC Math (Secondary): Sequences - Chapter Summary

Complete the lesson videos and assessments of this chapter to improve your understanding of arithmetic and geometric sequences as part of your studies for the Michigan Test for Teachers Certification (MTTC) Mathematics (Secondary). These lesson videos are taught by professional instructors who will help you improve your understanding of:

  • Finite and infinite sequences
  • Classifying arithmetic sequences
  • Using the general term and the sum of the first n terms of arithmetic sequences
  • Variable expressions for arithmetic sequences
  • Classifying and using the general terms of geometric sequences
  • Fibonacci sequence and Pascal's triangle
  • Binomial theorem
  • Using recursive rules for sequences

Ensure your retention of the information presented in these lesson videos and find areas of weakness by completing the lesson assessments. Fortify your understanding of these areas by returning to the lessons with video tags that are linked to the key points of the lesson videos or lesson transcripts that present a written lesson outlines of the material. If you develop any questions during this chapter, send them to instructors so they can help you master the material presented.

MTTC Math (Secondary): Sequences - Chapter Objectives

The MTTC Mathematics (Secondary) exam is used in the state of Michigan to measure educators' skills in secondary mathematics before they are certified to teach the subject. On test day, you will be administered 80 multiple-choice questions in a 4 hour and 30 minute testing session. Of these questions, 28% of them fall under the domain of Patterns, Algebraic Relationships and Functions. Use this chapter to aid in your review of sequences and improve your abilities working with them.

15 Lessons in Chapter 21: MTTC Math (Secondary): Sequences
Test your knowledge with a 30-question chapter practice test
What is a Mathematical Sequence?

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!

Introduction to Sequences: Finite and Infinite

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.

Arithmetic Sequences: Definition & Finding the Common Difference

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.

How to Find and Classify an Arithmetic Sequence

4. 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!

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

The Sum of the First n Terms of an Arithmetic Sequence

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.

How to Evaluate & Write Variable Expressions for Arithmetic Sequences

7. 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.

Working with Geometric Sequences

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!

Finding and Classifying Geometric Sequences

9. 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!

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

10. 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.

Fibonacci Sequence: Examples, Golden Ratio & Nature

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.

What is the Binomial Theorem?

12. What is the Binomial Theorem?

While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.

How to Use Factorial Notation: Process and Examples

13. 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.

Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

14. 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.

Special Sequences and How They Are Generated

15. 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.

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 MTTC Mathematics (Secondary) (022): Practice & Study Guide course

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