Science and Education Publishing Applied Mathematics and Physics 2 1 2014 01 08 k-Generalized Fibonacci Numbers 10 12 EN Yashwant K. Panwar Department of Mathematics and MCA, Mandsaur Institute of Technology, Mandsaur, India Mamta Singh AMP2014213 10.12691/amp-2-1-3 2013 11 30 2013 12 21 2014 01 08 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.