PROPERTIES OF A NEW GENERALIZED k-FIBONACCI SEQUENCE
ARFAT AHMAD WANI *
School of Studies in Mathematics, Vikram University, Ujjain, India.
G. P. S. RATHORE
Department of Mathematics, Horticulture College Mandsaur, India.
TANVEER AHMAD TARRAY
Department of Mathematics, Islamic University of Science and Technology, Awantipora, India
KIRAN SISODIYA
School of Studies in Mathematics, Vikram University, Ujjain, India
*Author to whom correspondence should be addressed.
Abstract
The paramount intention of this paper is to introduce and study a new generalized -Fibonacci sequence. So, in the present paper first and foremost we introduce a new generalized -Fibonacci sequence and after that some properties have been obtained for this new generalized -Fibonacci sequence by using algebraic methods.
Keywords: k-Fibonacci sequence, generalized k-Fibonacci sequence