# Definition:Strictly Increasing Sequence/Also known as

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## Strictly Increasing Sequence: Also known as

A **strictly increasing** sequence is also referred to as **ascending** or **strictly ascending**.

Some sources refer to a **strictly increasing sequence** as an **increasing sequence**, and refer to an increasing sequence which is *not* **strictly increasing** 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.

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