| 广义Fibonacci数列的通项及性质 |
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| 引用本文： | 陈淑贞,曾庆年.广义Fibonacci数列的通项及性质[J].海军工程大学学报,2008,20(3). |
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| 作者姓名： | 陈淑贞 曾庆年 |
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| 作者单位： | 海南师范大学,数学系,海口,571158 |
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| 摘 要： | 著名的Fibonacci数列有许多通项表达式和性质。利用数学归纳法和特征方程求根的方法对广义Fibonacci数列Rn 1=uRn vRn-1,R0=a,R1=b进行研究,得到了两个通项表达式和一个性质.
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| 关 键 词： | 广义Fibonacci数列 数学归纳法 性质 通项公式 |
General term and property of generalized Fibonacci sequence |
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| CHEN Shu-zhen,ZENG Qing-nian.General term and property of generalized Fibonacci sequence[J].Journal of Naval University of Engineering,2008,20(3). |
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| Authors: | CHEN Shu-zhen ZENG Qing-nian |
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| Abstract: | There are several general expressions for the famous Fibonacci sequence.This paper pre-sented two general expressions and the property of generalized Fibonacci sequence Rn 1=uRn vRn-1,R0=a,R1=b by using the mathematical induction method and seeking the root of characteristic equation. |
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| Keywords: | generalized Fibonacci sequence mathematical induction property general expressions |
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