arithmetic progression

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Related to Arithmetic sequence: Geometric sequence, Arithmetic series

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 ?
[a.sub.k+1] = [a.sub.k] + [1/2], k [greater than or equal to] 1, which is an arithmetic sequence starting with [a.sub.1] = [c([2.sup.1]) + 1/[2.sup.1]] = [1/2], and hence [a.sub.k] = [k/2] and c([2.sup.k] - 1) = [k2.sup.k-1] - 1, k > 1.
They are also practically the simplest example of an arithmetic sequence. Therefore, the triangular numbers have fascinated people and cultures all over the world (see [13] and references therein).
Solak, On the circulant matrices with arithmetic sequence, Int.
In addition, the fact that the answer coincidentally came to an integer gave him extra confidence that all was well--he even had a nice arithmetic sequence: 3, 4, 5 in the first case; 3, 4, 5, 6 in the second.
A graph G(V , E) of order p and size q is called (a,d)-edge-antimagi c total if there exists a bijection f : V (G) - E(G) {1, 2, ..., p q} such that the edge-weights, w(uv) f (u) f (v) f (uv), uv E(G) , form an arithmetic sequence with the first term a and common difference d .
* The numbers form an arithmetic sequence; that is, the difference between numbers is constant.
Each harmony is an arithmetic sequence whose general term is related to the next harmony.