arithmetic progression

(redirected from Arithmetic Sequences)
Also found in: Thesaurus, Financial, Encyclopedia.
Related to Arithmetic Sequences: Geometric sequences

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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Summary: TEHRAN (FNA)- A group of researchers at the Iranian University of Kashan successfully discovered the geometrical pattern governing the structures of fullerenes and carbon nanotubes and formulated the number of carbon atoms constituting fullerenes/CNTs as arithmetic sequences.
The sutras were originally envisaged as applying both to arithmetic and algebra, and Joseph (2000) and Bhatanagar (1976) have explained that since polynomials may be perceived as simply arithmetic sequences, the principles apply equally well to them.
Teachers (Figure 5) variously describe a logarithm as: "a number," "a symbol," "a type of notation," "a function," "a different language," and "an exponent." This metonymy makes no mention of the essential characteristic, the mapping between geometric and arithmetic sequences. The primary understanding of teachers in this study is that a logarithm is an exponent.
This article will discuss a lesson that introduces arithmetic sequences through a simple, yet rich exploration of a pattern.