# Ch 15: FTCE Math: Sequences & Series

### About This Chapter

## FTCE Math: Sequences & Series - Chapter Summary

By looking at the information in each of these engaging math lesson, you will be able to review and practice solving series and sequences math problems similar to those you will see on the FTCE Math exam. Some topics you can become more knowledge on through this chapter include:

- Finite and infinite sequences
- Arithmetic sequences
- General terms and sums in arithmetic sequences
- Geometric sequences
- The formula for infinite geometric series
- Fibonacci sequence
- Recursive rules for sequences

There is a lot of great content in these video lessons that can help you get ready for the actual FTCE Math exam. The lessons help you quickly review math concepts, and they even have video tags that let you easily scroll through different parts of a lesson, so you can prepare as quickly as possible.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

- About the FTCE Math Test
- FTCE Math: Properties of Real Numbers
- FTCE Math: Linear Equations
- FTCE Math: Linear Inequalities
- FTCE Math: Absolute Value Expressions & Equations
- FTCE Math: Systems of Linear Equations
- FTCE Math: Ratios & Proportions
- FTCE Math: Rational Expressions & Equations
- FTCE Math: Radical Expressions & Equations
- FTCE Math: Complex Numbers
- FTCE Math: Quadratics
- FTCE Math: Polynomials
- FTCE Math: Exponential & Logarithmic Equations
- FTCE Math: Vector Operations
- FTCE Math: Matrix Operations & Determinants
- FTCE Math: Functions
- FTCE Math: Piecewise Functions
- FTCE Math: Area & Perimeter
- FTCE Math: Surface Area & Volume
- FTCE Math: Foundations of Geometry
- FTCE Math: Lines & Angles
- FTCE Math: Geometric Construction
- FTCE Math: Properties of Triangles
- FTCE Math: Similar & Congruent Triangle Proofs
- FTCE Math: Right Triangle Proofs
- FTCE Math: Quadrilaterals & Polygons
- FTCE Math: Circles & Arcs
- FTCE Math: Conic Sections
- FTCE Math: Coordinate Geometry
- FTCE Math: Transformations in Geometry
- FTCE Math: Trigonometry
- FTCE Math: Overview of Statistics
- FTCE Math: Data Analysis & Statistics
- FTCE Math: Regression & Correlation
- FTCE Math: Graphic Representations of Data
- FTCE Math: Sampling in Statistics
- FTCE Math: Probability
- FTCE Math: Limits
- FTCE Math: Rate of Change
- FTCE Math: Calculating Derivatives & Derivative Rules
- FTCE Math: Graphing Derivatives
- FTCE Math: Integration & Integration Techniques
- FTCE Math: Integration Applications
- FTCE Math: Mathematical Reasoning
- FTCE Math: Teaching Strategies & Methods
- FTCE Math: Assessing Student Learning
- FTCE Math: Manipulatives & Models in the Classroom
- FTCE Math: Problem-Solving Strategies
- FTCE Mathematics 6-12 Flashcards