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View synonyms for arithmetic progression

# arithmetic progression

## 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.

arithmetic progression

## noun

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

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## Word History and Origins

Origin of arithmetic progression^{1}

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.

From Quanta Magazine

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

From Project Gutenberg

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