| 一类广义斐波那契数列及其应用 |
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| 引用本文： | 张纪平.一类广义斐波那契数列及其应用[J].泉州师范学院学报,2005,23(2):10-13. |
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| 作者姓名： | 张纪平 |
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| 作者单位： | 泉州师范学院,数学系,福建,泉州,362000 |
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| 摘 要： | 文章引入一类广义斐波那契效列，给出其收敛的充分必要条件，并利用该类广义斐波那契数列证明了任何自然效的算术平方根或是自然效或是无理效．
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| 关 键 词： | 广义斐波那契数列 自然效的平方根 无理效 |
| 文章编号： | 1009-8224(2005)02-0010-04 |
| 收稿时间： | 11 16 2004 12:00AM |
| 修稿时间： | 2004年11月16 |
A Generalized Fibonacci Sequence and Its Use |
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| ZHANG Ji-ping.A Generalized Fibonacci Sequence and Its Use[J].Journal of Quanzhou Normal College,2005,23(2):10-13. |
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| Authors: | ZHANG Ji-ping |
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| Institution: | Dept. of Math. , Quanzhou Normal University, Fujian 362000,China |
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| Abstract: | In this paper we give a kind of generalized Fibonacci sequence in which necessary and sufficient conditions is also given in convergence. The generalized Fibonacci sequence can prove that square roots of integer is either integer or irrational. |
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| Keywords: | generalized Fibonacci sequence square roots for integer irrational |
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