eng Science and Education Publishing Applied Mathematics and Physics 2014-01-08 2 1 10 12 10.12691/amp-2-1-3 AMP2014213 article Yashwant K. Panwar yashwantpanwar@gmail.com 1 Mamta Singh 2 Department of Mathematics and MCA, Mandsaur Institute of Technology, Mandsaur, India Department of Mathematical Sciences and Computer Application, Bundelkhand University, Jhansi (U. P.), India In this paper, we present the k-Generalized Fibonacci sequence. This sequence generalizes other, Generalized Fibonacci sequence. Generalized Fibonacci sequence was introduced by Gupta, Panwar and Sikhwal in 2012. We establish some of the interesting properties of k- Generalized Fibonacci sequence. http://pubs.sciepub.com/amp/2/1/3/amp-2-1-3.pdf Generalized Fibonacci numbersk-Generalized Fibonacci numbersBinet's formula