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Missing Terms Formula for Tribonacci-Like Sequences

Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 9)

Publication Date:

Authors : ;

Page : 590-592

Keywords : Tribonacci Sequence; Tribonacci-Like Sequence; Missing term; Binet's Formula;

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Abstract

Tribonacci sequences are generalization of Fibonacci sequences. Tribonacci sequence is defined by Tn=Tn-1+Tn-2+Tn-3, n3 with T0=0, T1=1 and T2=1. In recent years, few research scholars have been introduced Fibonacci-Like sequences which are similar to Fibonacci sequences in recurrence relation, but initial conditions are different. Due to this reason, these are known as Fibonacci-Like sequences. Tribonacci-Like sequences can be established by same pattern. A formula derived by Natividad to find missing terms for Fibonacci-like sequence. In this paper, we present a formula to find consecutive missing terms for Tribonacci-Like Sequences in terms of conventional Tribonacci numbers.

Last modified: 2021-07-01 14:44:11