Binets Formula for the Tetranacci Sequence
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

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Research Paper | Mathematics | India | Volume 5 Issue 12, December 2016

Binets Formula for the Tetranacci Sequence

Mansi N. Zaveri, Dr. Jayant K. Patel

In this paper, we derive an analog of Binets formula for the Tetranacci sequence with initial terms t_0=t_1=t_2=0 & t_3=1 and with recurrence relation t_n=t_ (n-1) +t_ (n-2) +t_ (n-3) +t_ (n-4), n4. This formula gives t_n explicitly as a function of index n and the roots of the associated characteristic equation x^4-x^3-x^2-x-1=0. In this study we also prove that the ratio of two terms T_ (n + i) and T_ (n ) of the generalized Tetranacci sequence approaches the value ^ (i ) as n tends to infinity. where, is the Tetranacci constant.

Keywords: Tetranacci sequence, Tetranacci numbers, Binets formula Generalized Tetranacci Sequence, Tetranacci Constant

Edition: Volume 5 Issue 12, December 2016

Pages: 1911 - 1913

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How to Cite this Article?

Mansi N. Zaveri, Dr. Jayant K. Patel, "Binets Formula for the Tetranacci Sequence", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20163927, Volume 5 Issue 12, December 2016, 1911 - 1913

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