Introduction to Series
A series is the sum of the terms of a sequence of numbers. Understanding series is crucial for solving complex mathematical problems and they appear frequently in advanced calculus.
Types of Series
- Arithmetic Series: A series with a constant difference between consecutive terms.
- Geometric Series: A series with a constant ratio between consecutive terms.
- Convergent and Divergent Series: Series that either approach a limit or continue indefinitely.
Want to take a test on series? Try out our Series Quiz!
Applications
Series are not just theoretical constructs; they are used in physics, engineering, computer science, and more to model situations where quantities accumulate over time.
"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding." - William Paul Thurston