Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression

Florentin Smarandache

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arXiv · 0911.4415

Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression

Florentin Smarandache

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Abstract

We prove that for any partition of a set which contains an infinite arithmetic (respectively geometric) progression into two disjoint subsets, at least one of these subsets contains an infinite number of triplets such that each triplet is an arithmetic (respectively geometric) progression.

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BibTeX RIS

Florentin Smarandache. 2009-11-23. Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression. https://arxiv.org/abs/0911.4415

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