Display Title
Definition--Sequences and Series Concepts--Infinite Series
Display Title
Infinite Series
Topic
Sequences and Series
Definition
An infinite series is the sum of the terms of an infinite sequence.
Description
An infinite series is a significant concept in mathematics, representing the sum of the terms of an infinite sequence. This concept is essential in various mathematical and scientific applications, including calculus and analysis.
In real-world applications, infinite series are used in mathematical modeling and simulations where processes continue indefinitely, such as in signal processing or financial forecasting. Algebraically, an infinite series can be represented as
where the sum continues indefinitely.
Understanding infinite series is crucial for math education as it helps students develop skills in recognizing and analyzing series that extend indefinitely. It provides a foundation for more advanced topics in calculus and analysis, and aids in developing problem-solving skills.
For a complete collection of terms related to sequences and series click on this link: Sequences and Series Collection
| Common Core Standards | CCSS.MATH.CONTENT.6.SP.B.4, CCSS.MATH.CONTENT.HSF.IF.A.3, CCSS.MATH.CONTENT.HSF.BF.A.2, CCSS.Math.CONTENT.HSF.LE.A.2 |
|---|---|
| Grade Range | 6 - 9 |
| Curriculum Nodes |
Algebra • Sequences and Series • Series |
| Copyright Year | 2021 |
| Keywords | data analysis, arithmetic sequence, common difference, definitions, glossary terms, geometric sequence, common ratio |
