### Abstract

We introduced the generalized Fibonacci sequence {U_{n}} defined by U_{0} = 0, U_{1} = 1, and Un+2x =x pUn+1+qUn for all p, qεZ+ and for all non-negative integers n. In this paper, we obtained some recursive formulas of the sequence.

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 | 661-665 |

Number of pages | 5 |

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 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

Chong, C. Y., Cheah, C. L., & Ho, C. K. (2014). Some identities of generalized Fibonacci sequence. In

*Proceedings of the 21st National Symposium on Mathematical Sciences: Germination of Mathematical Sciences Education and Research Towards Global Sustainability, SKSM 21*(pp. 661-665). (AIP Conference Proceedings; Vol. 1605). American Institute of Physics Inc.. https://doi.org/10.1063/1.4887668