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# arithmetic progression

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noun

a sequence in which each term is obtained by the addition of a constant number to the preceding term, as 1, 4, 7, 10, 13, and 6, 1, −4, −9, −14.

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Also called arithmetic series.

## Origin of arithmetic progression

First recorded in 1585–95

## Words nearby arithmetic progression

arith., arithmancy, arithmetic, arithmetician, arithmetic mean, arithmetic progression, -arium, Arius, Ariz., Arizona, Arjuna

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use arithmetic progression in a sentence

Nevertheless, the ideas became an important ingredient in the Green-Tao theorem, which shows that the set of prime numbers contains arithmetic progressions of any given length.

How I Learned to Love and Fear the Riemann Hypothesis|Alex Kontorovich|January 4, 2021|Quanta Magazine(b) Derive the formula for the sum of n terms of an arithmetic progression.

A Review of Algebra|Romeyn Henry Rivenburg

## British Dictionary definitions for arithmetic progression

arithmetic progression

noun

a sequence of numbers or quantities, each term of which differs from the succeeding term by a constant amount, such as 3,6,9,12Compare geometric progression

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for arithmetic progression

arithmetic progression

[ ăr′ĭth-mĕt′ĭk ]

A sequence of numbers such as 1, 3, 5, 7, 9 …, in which each term after the first is formed by adding a constant (in this case, 2) to the preceding number. Compare geometric progression.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.