Definition:Increasing Sequence/Also known as
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Increasing Sequence: Also known as
An increasing sequence is also known as an ascending sequence.
Some sources refer to an increasing sequence which is not strictly increasing as non-decreasing or monotone non-decreasing.
Some sources refer to an increasing sequence as a monotonic increasing sequence to distinguish it from a strictly increasing sequence.
That is, such that monotonic is being used to mean an increasing sequence in which consecutive terms may be equal.
$\mathsf{Pr} \infty \mathsf{fWiki}$ does not endorse this viewpoint.
Sources
- 1919: Horace Lamb: An Elementary Course of Infinitesimal Calculus (3rd ed.) ... (previous) ... (next): Chapter $\text I$. Continuity: $2$. Upper or Lower Limit of a Sequence
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): increasing sequence
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): increasing sequence