Definition:Arithmetic Sequence/Also known as

Arithmetic Sequence: Also known as

The term arithmetic progression is usual.

Arithmetical progression is also sometimes seen.

Hence the abbreviation A.P. is well-understood.

However, use of the term progression, although ubiquitous in the literature, is deprecated on $\mathsf{Pr} \infty \mathsf{fWiki}$ on account of the fact that the term is used both for arithmetic sequence and arithmetic series, and this can be a source of confusion.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): arithmetic progression
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): arithmetic progression (arithmetic sequence)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): arithmetic progression (arithmetic sequence)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): arithmetic sequence
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): arithmetic sequence