Conjecture and Proof of Summation of Series Equal to One

DOI

10.2991/iccia-19.2019.73How to use a DOI?

Keywords

reduction ad absurdum, Convergence of series, harmonic series, geometric progression, primitive series.

Abstract

Convergence of series is the rudiments of study series, but for the divergent series, people tend not to pay close attention, however the proof of this paper what is based on the revelation of the divergent series. Doing a process of combination unconditional convergence with a proper pattern exists some interesting finding. When we do a subtraction with harmonic series expressed as geometric progression and primitive series equal to one. It exists an obvious regularity, so the following paper will extract the regularity of this series by using the complete induction to and by using reduction ad absurdum to demonstrate this conclusion.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Yihang Zhao
AU  - Haomin Yang
AU  - Jie Sun
AU  - Ao Feng
AU  - Yuhang Yang
AU  - Xudong Liu
PY  - 2019/07
DA  - 2019/07
TI  - Conjecture and Proof of Summation of Series Equal to One
BT  - Proceedings of the 3rd International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2019)
PB  - Atlantis Press
SP  - 474
EP  - 476
SN  - 2352-538X
UR  - https://doi.org/10.2991/iccia-19.2019.73
DO  - 10.2991/iccia-19.2019.73
ID  - Zhao2019/07
ER  -