Fibonacci numbers and applications related to these numbers are frequently encountered both in daily life and in various fields of science and engineering. There are many studies to sum expressions on these numbers [1]. However, in later periods, generalized Fibonacci numbers, which are the more general version of Fibonacci and Lucas numbers, and also new number sequences such as k-Fibonacci numbers by Sergio Falcon have entered into the literature [2]. In this study, some sums of generalized Fibonacci numbers have been investigated and compared with previously obtained sums of Fibonacci and Lucas numbers, which are the special cases of these sums.

analysis, serial sum, convergence