Summation of Reciprocals Related to \(l\)-th Power of Generalized Fibonacci Sequences

Gaowen Xi1
1Department of Mathematics, Luoyang Teachers’ College, Luoyang, 471022, P. R. China

Abstract

By applying the method of generating function, the purpose of this paper is to give several summations of reciprocals related to \(l-th\) power of generalized Fibonacci sequences. As applications, some identities involving Fibonacci, Lucas numbers are obtained.