Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
An infinite series is the sum of an infinite sequence of numbers. It is represented by adding up all the terms in the sequence, starting from the first term.
Related terms
Convergent Series: A convergent series is an infinite series that has a finite sum. In other words, as you add more and more terms, the sum approaches a specific value.
Divergent Series: A divergent series is an infinite series that does not have a finite sum. As you add more terms, the sum keeps getting larger or smaller without approaching any specific value.