Ch 47: NMTA Math: Sequences & Series

About This Chapter

These quick and entertaining video lessons illustrate the sequences and series concepts you can expect to be tested on as you work through your NMTA Math certification assessment. Study up on arithmetic and geometric sequences and series as well as the Fibonacci sequence and golden ratio.

NMTA Math: Sequences & Series - Chapter Summary

This series of brief, appealing videos addresses the sequences and series concepts you need to know for the NMTA Math exam, breaking down the ideas and demonstrating the methods in a way that's easy to follow. Lesson topics include:

  • A comparison of finite and infinite sequences
  • Arithmetic sequences and series
  • Geometric sequences and series
  • Calculating the sum of the first n terms in a sequence
  • Applications of the General Term of a sequence
  • The Fibonacci Sequence and Golden Ratio
  • Recursive rules for different types of sequences

Practice using the sequences and series topics covered in the lessons by working through the lesson quizzes, which help you assess how well you've understood the concepts. If you need help or have any questions about the material, please ask our instructors for assistance.

Objectives of the NMTA Math: Sequences & Series Chapter

This chapter uses enticing videos that deconstruct the sequences and series you need to know for the NMTA Math assessment, present the information in an appealing format, and last only a few minutes apiece, making it easier to do the work necessary to master the concepts you need.

The assessment will evaluate your skills in five content areas. The topics in this chapter can be found in the stats/probability and discrete math content domain, which makes up 19% of the test. You'll have four hours and fifteen minutes to work through all 150 multiple-choice questions on the computer-administered exam. Use the lesson quizzes to introduce yourself to the NMTA format.

10 Lessons in Chapter 47: NMTA Math: 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.

Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences

10. 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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