# Definition:Decreasing Sequence/Also known as

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## Decreasing Sequence: Also known as

A **decreasing** sequence is also referred to as **order-reversing**.

Some sources use the term **descending**.

Some sources refer to a **decreasing sequence** which is not **strictly decreasing** as **non-increasing** or **monotone non-increasing**.

Some sources refer to a **decreasing sequence** as a **monotonic decreasing sequence** to distinguish it from a **strictly decreasing sequence**.

That is, such that **monotonic** is being used to mean a **decreasing sequence** in which consecutive terms may be equal.

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## 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): Entry:**decreasing sequence** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**decreasing sequence**