A Note On The Generalized k-Fibonacci Sequence
Authors : Yashwant Panwar
Pages : 29-39
Doi:10.46572/naturengs.937010
View : 8 | Download : 5
Publication Date : 2021-12-18
Article Type : Research
Abstract :In this paper, we present a generalization of well-known k-Fibonacci sequence. Namely, we defined generalized k-Fibonacci sequence. This sequence generalizes others, k-Fibonacci sequence, classical Fibonacci sequence, Pell sequence and Jacobsthal sequence. We establish some of the interesting properties of generalized k-Fibonacci sequence. Also, we obtain a generating function for them.Keywords : Generalized k-Fibonacci sequence, k-Fibonacci sequence, Fibonacci sequence, Binet’s formula, Generating function