Generating matrix and sums of Fibonacci and Pell sequences

C. K. Ho, Hai Song Woon, Chin Yoon Chong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we study the Fibonacci sequence and Pell sequence and developed generating matrices for them. First we proved two results on the even sum of the Fibonacci sequence and the Pell sequence, using the generating matrix approach. We then deduce the odd sums, some identities and recursive formulas for these two sequences.

Original languageEnglish
Title of host publicationProceedings of the 21st National Symposium on Mathematical Sciences
Subtitle of host publicationGermination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21
PublisherAmerican Institute of Physics Inc.
Pages678-683
Number of pages6
ISBN (Print)9780735412415
DOIs
Publication statusPublished - 01 Jan 2014
Event21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21 - Penang, Malaysia
Duration: 06 Nov 201308 Nov 2013

Publication series

NameAIP Conference Proceedings
Volume1605
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21
CountryMalaysia
CityPenang
Period06/11/1308/11/13

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matrices

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Ho, C. K., Woon, H. S., & Chong, C. Y. (2014). Generating matrix and sums of Fibonacci and Pell sequences. In Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21 (pp. 678-683). (AIP Conference Proceedings; Vol. 1605). American Institute of Physics Inc.. https://doi.org/10.1063/1.4887671
Ho, C. K. ; Woon, Hai Song ; Chong, Chin Yoon. / Generating matrix and sums of Fibonacci and Pell sequences. Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21. American Institute of Physics Inc., 2014. pp. 678-683 (AIP Conference Proceedings).
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Ho, CK, Woon, HS & Chong, CY 2014, Generating matrix and sums of Fibonacci and Pell sequences. in Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21. AIP Conference Proceedings, vol. 1605, American Institute of Physics Inc., pp. 678-683, 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21, Penang, Malaysia, 06/11/13. https://doi.org/10.1063/1.4887671

Generating matrix and sums of Fibonacci and Pell sequences. / Ho, C. K.; Woon, Hai Song; Chong, Chin Yoon.

Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21. American Institute of Physics Inc., 2014. p. 678-683 (AIP Conference Proceedings; Vol. 1605).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Ho CK, Woon HS, Chong CY. Generating matrix and sums of Fibonacci and Pell sequences. In Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21. American Institute of Physics Inc. 2014. p. 678-683. (AIP Conference Proceedings). https://doi.org/10.1063/1.4887671