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Golden proportions for the generalized Tribonacci numbers |
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| Authors: | Devbhadra V. Shah Darshana A. Mehta |
| Affiliation: | 1. Department of Mathematics , Sir P.T. Sarvajanik College of Science , Athwalines, Surat–395001, India drdvshah@yahoo.com;3. Department of Mathematics , Sir P.T. Sarvajanik College of Science , Athwalines, Surat–395001, India |
| 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 |