### 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 language | English |
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Title of host publication | Proceedings of the 21st National Symposium on Mathematical Sciences |

Subtitle of host publication | Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21 |

Publisher | American Institute of Physics Inc. |

Pages | 678-683 |

Number of pages | 6 |

ISBN (Print) | 9780735412415 |

DOIs | |

Publication status | Published - 01 Jan 2014 |

Event | 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21 - Penang, Malaysia Duration: 06 Nov 2013 → 08 Nov 2013 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1605 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21 |
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Country | Malaysia |

City | Penang |

Period | 06/11/13 → 08/11/13 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*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

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Generating matrix and sums of Fibonacci and Pell sequences

AU - Ho, C. K.

AU - Woon, Hai Song

AU - Chong, Chin Yoon

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84904663956&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904663956&partnerID=8YFLogxK

U2 - 10.1063/1.4887671

DO - 10.1063/1.4887671

M3 - Conference contribution

SN - 9780735412415

T3 - AIP Conference Proceedings

SP - 678

EP - 683

BT - Proceedings of the 21st National Symposium on Mathematical Sciences

PB - American Institute of Physics Inc.

ER -