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

**Authors:** Florentin Smarandache

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

**Comments:** 3 pages

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### Submission history

[v1] 11 Mar 2010

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