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View synonyms for arithmetic progression

arithmetic progression

noun

  1. 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.


arithmetic progression

noun

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


arithmetic progression

/ ăr′ĭth-mĕtĭk /

  1. 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.


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Word History and Origins

Origin of arithmetic progression1

First recorded in 1585–95
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Example Sentences

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.

(b) Derive the formula for the sum of n terms of an arithmetic progression.

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arithmetic mean-arium