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There are 7 lessons in this math tutorial covering Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.. The tutorial starts with an introduction to Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series. and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What are number series? Where do they differ from number sequences?
- What is the Gauss method used for in arithmetic series?
- How do we calculate the sum of the first n terms in an arithmetic series without using the Gauss formula?
- What are geometric series? Where do they differ from geometric sequences?
- How do we calculate the sum of the first n terms in an increasing/decreasing geometric series?
- How do we combine number sequences and series to find any missing information?
- What are combined series? How to deal with them?
- How do we apply number sequences and series in practice?
Introduction
This tutorial focuses on number series as an extension of the number sequences concept. We will mainly discuss arithmetic and geometric series but also some more advanced series formed by the combination of the above. All new situations explained are illustrated through solved examples
Please select a specific "Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series." lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
Sequences and Series Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 12.2 | Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series. | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 12.2.1 | Series versus Sequences | | |
| 12.2.2 | The Gauss Method and Arithmetic Series | | |
| 12.2.3 | An Alternative Formula for the Calculation of Sn in Arithmetic Series | | |
| 12.2.4 | Geometric Series | | |
| 12.2.5 | The Combination of Sequences and Series | | |
| 12.2.6 | Combined Series | | |
| 12.2.7 | The Practical Applications of Number Series and Sequences | | |
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- Sequences and Series Practice Questions: Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series.. Test and improve your knowledge of Working with Arithmetic and Geometric Series. How to find the Sum of the First n-Terms of a Series. with example questins and answers
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- Continuing learning sequences and series - read our next math tutorial: Binomial Expansion and Coefficients
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