Panwar, Yashwant2022-05-052022-05-052021Panwar, Y. (2021). A Note On The Generalized k-Fibonacci Sequence . NATURENGS , 2 (2) , 29-39 . DOI: 10.46572/naturengs.9370102717-8013https://dergipark.org.tr/tr/pub/naturengs/issue/62939/937010https://hdl.handle.net/20.500.12899/1054In 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.eninfo:eu-repo/semantics/openAccessGeneralized k-Fibonacci Sequencek-Fibonacci SequenceFibonacci SequenceBinet’s FormulaGenerating FunctionArticle10.46572/naturengs.937010222939