﻿ Definition of Arithmetical progression. Meaning of Arithmetical progression. Synonyms of Arithmetical progression

# Definition of Arithmetical progression. Meaning of Arithmetical progression. Synonyms of Arithmetical progression

Here you will find one or more explanations in English for the word Arithmetical progression. Also in the bottom left of the page several parts of wikipedia pages related to the word Arithmetical progression and, of course, Arithmetical progression synonyms and on the right images related to the word Arithmetical progression.

## Definition of Arithmetical progression

Arithmetical progression
Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] 1. The act of moving forward; a proceeding in a course; motion onward. 2. Course; passage; lapse or process of time. I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. 3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. 4. (Mus.) A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key. Arithmetical progression, a progression in which the terms increase or decrease by equal differences, as the numbers [lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the difference 2. Geometrical progression, a progression in which the terms increase or decrease by equal ratios, as the numbers [lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2] by a continual multiplication or division by 2. Harmonic progression, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as 1/2, 1/4, 1/6, 1/8, 1/10.
Arithmetical progression
Arithmetical Ar`ith*met"ic*al, a. Of or pertaining to arithmetic; according to the rules or method of arithmetic. Arithmetical complement of a logarithm. See Logarithm. Arithmetical mean. See Mean. Arithmetical progression. See Progression. Arithmetical proportion. See Proportion.

## Meaning of Arithmetical progression from wikipedia

- In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms...
- primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression. An example...
- arithmetic progression, the sum of the reciprocals of the prime numbers in the progression diverges and that different such arithmetic progressions with...
- a multiple arithmetic progression, generalized arithmetic progression or a semilinear set, is a generalization of an arithmetic progression equipped with...
- Erdős' conjecture on arithmetic progressions, often referred to as the Erdős–Turán conjecture, is a conjecture in arithmetic combinatorics (not to be...
- that the two kinds of progression are related: exponentiating each term of an arithmetic progression yields a geometric progression, while taking the logarithm...
- Problems involving arithmetic progressions are of interest in number theory, combinatorics, and computer science, both from theoretical and applied points...
- Apostol, Tom M. (1976). "7. Dirichlet's Theorem on Primes in Arithmetical Progressions". Introduction to Analytic Number Theory. New York; Heidelberg:...
- Progression may refer to: In mathematics: Arithmetic progression, sequence of numbers such that the difference of any two successive members of the sequence...
- Roth's theorem on arithmetic progressions is a result in additive combinatorics concerning the existence of arithmetic progressions in subsets of the...