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  2. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

  3. Problems involving arithmetic progressions - Wikipedia

    en.wikipedia.org/wiki/Problems_involving...

    Find minimal l n such that any set of n residues modulo p can be covered by an arithmetic progression of the length l n. [7]For a given set S of integers find the minimal number of arithmetic progressions that cover S

  4. Harmonic progression (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_progression...

    In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression, which is also known as an arithmetic sequence. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.

  5. Generalized arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Generalized_arithmetic...

    In mathematics, a generalized arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas an arithmetic progression is generated by a single common difference, a generalized arithmetic progression can be generated by multiple common differences.

  6. Primes in arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Primes_in_arithmetic...

    In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression.An example is the sequence of primes (3, 7, 11), which is given by = + for .

  7. Arithmetico-geometric sequence - Wikipedia

    en.wikipedia.org/wiki/Arithmetico-geometric_sequence

    The elements of an arithmetico-geometric sequence () are the products of the elements of an arithmetic progression (in blue) with initial value and common difference , = + (), with the corresponding elements of a geometric progression (in green) with initial value and common ratio , =, so that [4]

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