On the Reciprocal Sums of Generalized Fibonacci-Like Sequence

Musraini M. (University of Riau)
Rustam Efendi (University of Riau)
Endang Lily (University of Riau)
Noor El Goldameir (University of Riau)
Verrel Rievaldo Wijaya (University of Riau)

International Journal of Computing Science and Applied Mathematics
Vol 9, No 1 (2023)

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