An Iterative Process Applied to Equilateral Triangles Resulting to the Identity 1/3+1/9+1/27+…=1/2.

Levi L. Bicua; Precious R. Tayaben; Abraham P. Racca

doi:10.35974/isc.v6i1.1207

An Iterative Process Applied to Equilateral Triangles Resulting to the Identity 1/3+1/9+1/27+…=1/2.

Authors

Levi L. Bicua Adventist University of the Philippines
Precious R. Tayaben Adventist University of the Philippines
Abraham P. Racca Adventist University of the Philippines

https://doi.org/10.35974/isc.v6i1.1207

Keywords:

iterative process, equilateral triangles

Abstract

In this paper, we define a particular iterative process and apply it to triangles. It was shown that the process results to self-similar triangles if and only if the generator triangle is an equilateral triangle. Furthermore, the identity 1/3+1/9+1/27+...=1/2 resulted from the process.

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Published

2019-08-13

How to Cite

Bicua, L. L., Tayaben, P. R., & Racca, A. P. (2019). An Iterative Process Applied to Equilateral Triangles Resulting to the Identity 1/3+1/9+1/27+…=1/2. Abstract Proceedings International Scholars Conference, 6(1), 146. https://doi.org/10.35974/isc.v6i1.1207