The Infinite Sum of Reciprocal of the Fibonacci Numbers
Received:October 13, 2010  Revised:January 12, 2011
Key Words: Fibonacci numbers   reciprocals   infinite sum   elementary method   identity.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11071194).
Author NameAffiliation
Guo Jie ZHANG Department of Mathematics, Northwest University, Shaanxi 710127, P. R. China 
Hits: 3690
Download times: 3830
Abstract:
      In this paper, we consider infinite sums of the reciprocals of the Fibonacci numbers. Then applying the floor function to the reciprocals of this sums, we obtain a new identity involving the Fibonacci numbers.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.06.010
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.