arithmetic progression

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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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

arithmet′ic progres′sion


n.
a sequence in which each term is obtained by the addition of a constant number to the preceding term, as 1, 4, 7, 10, and 6, 1, −4, −9. Also called ar′ithmet′ic se′ries.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ar·ith·met·ic 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 to the preceding number (in this case, 2). Compare geometric progression.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

arithmetic progression

- 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.
See also related terms for sequence.
Farlex Trivia Dictionary. © 2012 Farlex, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.arithmetic progression - (mathematics) a progression in which a constant is added to each term in order to obtain the next termarithmetic 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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References in periodicals archive ?
For each positive integer m, a positive integer N is called an m-trapezoidal number if N can be written as an arithmetic series of at least 2 terms with common difference m.
The juridical cumulation system is in fact the most widespread in contemporary laws, unlike the system of arithmetic series (or the system of adding the penalties) expressed by the Latin adage "quot delicta, tot poenae" or by the absorption system expressed by the adage "Major poena minorem absorbet".
We then saw that the total number of numbers in different stages could be figured out using an arithmetic series: