Display Title
Definition--Sequences and Series Concepts--Infinite Sequence
Display Title
Infinite Sequence
Topic
Sequences and Series
Definition
An infinite sequence is a sequence that continues indefinitely without terminating.
Description
An infinite sequence is a fundamental concept in mathematics, representing a sequence that continues indefinitely without terminating. This concept is essential in various mathematical and scientific applications, including calculus and analysis.
In real-world applications, infinite sequences are used in mathematical modeling and simulations where processes continue indefinitely, such as in population dynamics or financial forecasting. Algebraically, an infinite sequence can be represented as
a1, a2, a3,…
with no end.
Understanding infinite sequences is crucial for math education as it helps students develop skills in recognizing and analyzing patterns 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 • Sequences |
| Copyright Year | 2021 |
| Keywords | data analysis, arithmetic sequence, common difference, definitions, glossary terms, geometric sequence, common ratio |
