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arithmetic progression
(redirected from Arithmetic progressions)

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.01 sec.
arithmetic progression
n.
A sequence, such as the positive odd integers 1, 3, 5, 7, . . . , in which each term after the first is formed by adding a constant to the preceding term.

arithmetic progression
n
(Mathematics) 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  (rth-mtk)
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.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.arithmetic progressionarithmetic progression - (mathematics) a progression in which a constant is added to each term in order to obtain the next term; "1-4-7-10-13- is the start of an arithmetic progression"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
patterned advance, progression - a series with a definite pattern of advance


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? Mentioned in ? References in periodicals archive
 
Primal progress Mathematicians proved that the population of prime numbers includes an infinite collection of arithmetic progressions (165: 260).
For centuries, mathematicians have wondered how many arithmetic progressions such as these exist among the set of prime numbers and how long the progressions can get.
 
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