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 progressionProgression Pro*gres"sion, n. [L. progressio: cf. F.
1. The act of moving forward; a proceeding in a course;
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.
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
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.
Meaning of Arithmetical progression from wikipedia
- In mathematics, an arithmetic progression
(AP) or arithmetic sequence
is a sequence
such that the difference between
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
- a multiple arithmetic progression
, generalized arithmetic progression
or a semilinear
set, is a generalization
of an arithmetic progression equipped
- 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
are related: exponentiating
each term of an arithmetic progression yields
a geometric progression
, while taking
- Problems involving arithmetic progressions
are of interest
theory, combinatorics, and computer
science, both from theoretical
- Apostol, Tom M. (1976). "7. Dirichlet's Theorem
in Arithmetical Progressions
to Analytic Number
Theory. New York; Heidelberg:...
to: In mathematics: Arithmetic progression
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
of arithmetic progressions
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