On the Reciprocal Sums of Generalized Fibonacci-Like Sequence

The Fibonacci and Lucas sequences have been generalized in many ways, some by preserving the initial conditions, others recurrence relation. One of them is defined relation B_n = B_{n−1} + B_{n−2}, n >= 2 with condition B_0 2s, B_1 s 1 where Z. In this paper, we consider reciprocal sums B^2_n, an established result that also involve Bn.