Golden proportions for the generalized Tribonacci numbers

Authors: Shah, Devbhadra1; Mehta, Darshana1

Source: International Journal of Mathematical Education in Science and Technology, Volume 40, Number 6, January 2009 , pp. 837-842(6)

Publisher: Taylor and Francis Ltd

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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: 10.1080/00207390902971940

Affiliations: 1: Department of Mathematics, Sir P.T. Sarvajanik College of Science, Athwalines, Surat-395001, India

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