PENJUMLAHAN RECIPROKAL DARI BILANGAN GENERALISASI FIBONACCI

Abstract

This final project discusses some identities for sum of reciprocal generalized Fibonacci numbers (Gn) with n = k for k be a positive integer as well sum of reciprocal generalized Fibonacci numbers (Gn) with n = 2k+1 or n is positive odd integer and n = 2k or n is positive even integer for k be a positive integer. Then by applying the oor function to the sum of reciprocal discussed, a new equation is obtained for the generalized Fibonacci numbers discussed in this project. Thus the equation for the sum of reciprocal generalized Fibonacci numbers (Gn) for n = k and k members of the positive integers and n has a special even value (n = 2k +1) or a special even (n = 2k) in the discussed Fibonacci generalized numbers can be obtained.