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Welcome to our Math lesson on Infinite and Finite Number Series , this is the first lesson of our suite of math lessons covering the topic of Infinite Series Explained, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Infinite and Finite Number Series Explained
An infinite series is a series that has an infinite number of terms in it. These series never terminate, i.e. they have no final value. An infinite series is either written in a summation notation:
S = ∞∑n = 1xn
or by three dots after the last known term to indicate the continuation to infinity, i.e.
S = x1 + x2 + x3 + ⋯ + xn + ⋯
For example,
S = 3 + 7 + 11 + 15
is a finite series, as the last term of the series is known (15). On the other hand,
S = 3 + 7 + 11 + 15 + ⋯
is an infinite series, as it continues beyond the last known term (15). This is indicated by the three dots after this term.
More Infinite Series Explained Lessons and Learning Resources
Sequences and Series Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 12.4 | Infinite Series Explained | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 12.4.1 | Infinite and Finite Number Series | | |
| 12.4.2 | Converging and Diverging Infinite Series | | |
| 12.4.3 | Calculating an Infinite Geometric Series | | |
| 12.4.4 | The Comparison Test of Convergence | | |
| 12.4.5 | The Special Types of Infinite Series | | |
| 12.4.6 | The Ratio Convergence Test | | |
| 12.4.7 | The Root Convergence Test | | |
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