Ch 21: MTTC Mathematics (Elementary): Sequences & Series

About This Chapter

Enhance your preparations for the MTTC Mathematics (Elementary) exam by reviewing the entertaining lessons in this chapter. Get reacquainted with sequences and series and test your knowledge with short quizzes to ensure you're ready for exam day.

MTTC Mathematics (Elementary): Sequences & Series - Chapter Summary

In this chapter are resources you can utilize to boost your knowledge of sequences and series. Start by watching videos that can help you prepare for the following on the MTTC Mathematics (Elementary) exam:

  • Describing finite and infinite sequences, and defining and finding the common difference of arithmetic sequences
  • Explaining how and why to use the general term of an arithmetic and geometric sequence
  • Discussing the sum of the first n terms of an arithmetic and geometric sequence
  • Sharing how to understand arithmetic and infinite geometric series and work with geometric sequences
  • Providing details about the Fibonacci sequence, the golden ratio and nature
  • Detailing the use of recursive rules for arithmetic, algebraic and geometric sequences

Tailor the lessons to your studying needs to make sure your preparations for the exam are comprehensive, yet convenient. Review the lessons as videos or full transcripts from your home computer or mobile devices. Choose the sequence that you'd like to view the lessons, and visit them multiple times. Take self-assessment quizzes and a chapter exam to ensure you fully comprehend sequences and series. After utilizing these resources, you will be more than prepared to address questions on the assessment.

11 Lessons in Chapter 21: MTTC Mathematics (Elementary): Sequences & Series
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.

Fibonacci Sequence: Examples, Golden Ratio & Nature

10. 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.

Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

11. 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.

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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