Implementing a Recurrence Relation Model for Finding the General Form of a Special Integer Sequence Generated by Geometric Sequences with t Representing the First Term and p Representing the Ratio

DOI

10.2991/icomse-17.2018.19How to use a DOI?

Keywords

generated, geometric, recurrence, sequence

Abstract

The general form of an geometric sequence is t, tp, tp2, tp3, … , tpn-1, …This sequence is one of integer sequences. The rule for determining the nth term is un = tpn-1. The specific sequence that is generated by this gemetric sequence is t, t, t, … [t times], (tp), (tp), (tp),… [(tp) times], (tp2),(tp2),(tp2), … [(tp2) times, …, (tpn-1), (tpn-1), (tpn-1), … [(tpn-1) times]… .The problem is finding the rule for drciding its nth term. The purpose of this study is implementing a recurrence relation model for solving the problem. By the help of a linear recurrence relation with constant coefficients of coun+ c1un-1+ … + ckan-k = f(n), it can be found that un = (1-) + () .pn

Copyright

© 2018, 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/).

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TY  - CONF
AU  - Gatot Muhsetyo
PY  - 2017/08
DA  - 2017/08
TI  - Implementing a Recurrence Relation Model for Finding the General Form of a Special Integer Sequence Generated by Geometric Sequences with t Representing the First Term and p Representing the Ratio
BT  - Proceedings of the 1st Annual International Conference on Mathematics, Science, and Education (ICoMSE 2017)
PB  - Atlantis Press
SP  - 213
EP  - 218
SN  - 2352-5398
UR  - https://doi.org/10.2991/icomse-17.2018.19
DO  - 10.2991/icomse-17.2018.19
ID  - Muhsetyo2017/08
ER  -