Infinite Sequences and Series

Definition

Infinite sequences are lists of numbers that continue indefinitely, while infinite series are sums of those numbers. They can converge to a finite value or diverge to infinity.

Related terms

Convergence:

When an infinite sequence or series approaches a finite value as more terms are added.

Divergence:

When an infinite sequence or series does not approach a finite value and instead goes to infinity or negative infinity.

Geometric Series:

A specific type of infinite series where each term is multiplied by a common ratio.