About This Chapter
How It Works:
- Find the lesson within this chapter that corresponds to what you're studying in the Concept of Series chapter of your textbook.
- Watch fun videos that cover the calculus concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.
You'll learn all of the calculus topics covered in the textbook chapter, including:
- Definition and explanation of a mathematical sequence
- Performing computations in an arithmetic series
- Understanding convergence and divergence of a series
- Exploring convergence and divergence of a series using technology
Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
1. What is a Mathematical Sequence?
A mathematical sequence is a set of numbers that makes a pattern and can be simple or complicated, finite or infinite. Explore sequences, terms in a sequence, and the different kinds of mathematical sequences, including the famous Fibonacci sequence.
2. How to Calculate an Arithmetic Series
An arithmetic series is the sum of the individual numbers contained in an arithmetic sequence. Learn the differences between arithmetic series and arithmetic sequence and discover how the formula for arithmetic series can be applied to real-life scenarios in the Michigan Stadium Solution.
3. Convergence & Divergence of a Series: Definition & Examples
In this lesson, we explore the concept of an infinite series by showing an example from basic physics. We use the example to introduce the geometric series and to further suggest the issues of convergence and divergence.
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Other chapters within the Saxon Calculus Homeschool: Online Textbook Help course
- Saxon Calculus: Real Numbers
- Saxon Calculus: Algebra
- Saxon Calculus: Algebra Theorems
- Saxon Calculus: Geometry
- Saxon Calculus: Logic
- Saxon Calculus: Trigonometry
- Saxon Calculus: Graphing Calculator
- Saxon Calculus: Basics of Functions
- Saxon Calculus: Graphing Functions & Equations
- Saxon Calculus: Analysis of Graphs
- Saxon Calculus: Limits of Functions
- Saxon Calculus: Asymptotic & Unbounded Behavior
- Saxon Calculus: Continuity as a Property of Functions
- Saxon Calculus: Parametric, Polar & Vector Functions
- Saxon Calculus: Concept of the Derivative
- Saxon Calculus: Derivative at a Point
- Saxon Calculus: Derivative as a Function
- Saxon Calculus: Second Derivatives
- Saxon Calculus: Applications of the Derivative
- Saxon Calculus: Computation of Derivatives
- Saxon Calculus: Riemann Sums
- Saxon Calculus: Interpretations & Properties of Definite Integrals
- Saxon Calculus: Applications of Integrals
- Saxon Calculus: Fundamental Theorem of Calculus
- Saxon Calculus: Techniques of Antidifferentiation
- Saxon Calculus: Applications of Antidifferentiation
- Saxon Calculus: Numerical Approximation of Definite Integrals
- Saxon Calculus: Series of Constants
- Saxon Calculus: Taylor Series