Bounded Sequence

Definition

A bounded sequence is a sequence in which all the terms are limited within a certain range. In other words, there are upper and lower bounds that the terms of the sequence do not exceed.

Related terms

Convergent Sequence:

A convergent sequence is a bounded sequence that also approaches a specific value as its terms continue. It has a limit.

Divergent Sequence:

A divergent sequence is a bounded sequence that does not approach any specific value as its terms continue. It does not have a limit.

Monotonic Sequence:

A monotonic sequence is a bounded sequence in which the terms either always increase or always decrease as you move along the sequence.