## 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

**Download:** **PDF**

### Submission history

[v1] 11 Mar 2010

**Unique-IP document downloads:** 66 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*