Golden proportions for the generalized Tribonacci numbers
Authors: Shah, Devbhadra; Mehta, Darshana
Source: International Journal of Mathematical Education, Volume 40, Number 6, January 2009 , pp. 837-842(6)
Publisher: Taylor and Francis Ltd
Abstract:
It is known that the ratios of consecutive terms of Fibonacci and Tribonacci sequences converge to the fixed ratio. In this article, we consider the generalized form of Tribonacci numbers and derive the 'golden proportion' for the whole family of this generalized sequence.Keywords: Fibonacci sequence; Tribonacci sequence; golden proportion
Document Type: Research article
DOI: http://dx.doi.org/10.1080/00207390902971940
Affiliations: 1: Department of Mathematics, Sir P.T. Sarvajanik College of Science, Athwalines, Surat-395001, India
Publication date: 2009-01-01
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