# Arithmetic Progression

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Related to Arithmetic Progression: geometric progression, harmonic progression

## Arithmetic Progression

A sequence of numbers in which the difference between any two succeeding numbers in the sequence is always the same. For example, given the sequence 0, 10, 20, 30, 40, and 50, the progression is arithmetic because the difference between each succeeding number is always 10.
References in periodicals archive ?
The maximum and minimum values show the same tendency of increasing the value of the arithmetic progression.
which is simply an arithmetic progression with common difference 4 when b progresses through the C(n).
As in the arithmetic progression, formula for the nth term and the sum of the first n terms of a geometric progression are known.
Primal progress Mathematicians proved that the population of prime numbers includes an infinite collection of arithmetic progressions (165: 260).
In a recent paper, Zhang and Zhang  introduced the concept of sequences of numbers in arithmetic progression with alternate common differences as well as the periodic sequence with two common differences.
an is an arithmetic progression if and only for any constant k, its k-translation [a.
Let k and h are any positive integers with (h; k) = 1, then there are infinitely many primes in the arithmetic progression nk + h, where n = 0, 1, 2, 3,.
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