arithmetic progression

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June 18, 2026

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An arithmetic progression is a sequence of numbers where the difference between any term and its predecessor remains constant. This constant difference is known as the common difference. For example, in the sequence 3, 5, 7, 9, the common difference is 2. A harmonic progression is a sequence where the reciprocals of the terms form an arithmetic progression.123

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Endre Szemerédi
…mathematics is a theorem about arithmetic progressions. The theorem, which became known as Szemerédi’s theorem, proved a 1936 conjecture by Erdős and Hungarian mathematician Paul Turán. In number theory, an arithmetic progression is a sequence of numbers that proceeds in steps of the same amount. For example, 2, 4, 6,…
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…mathematics is a theorem about arithmetic progressions. The theorem, which became known as Szemerédi’s theorem, proved a 1936 conjecture by Erdős and Hungarian mathematician Paul Turán. In number theory, an arithmetic progression is a sequence of numbers that proceeds in steps of the same amount. For example, 2, 4, 6,…
Read More