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.