arithmetic progression

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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.

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

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.

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.

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.
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
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.
This metonymy makes no mention of the essential characteristic, the mapping between geometric and arithmetic sequences.
This article will discuss a lesson that introduces arithmetic sequences through a simple, yet rich exploration of a pattern.