New results on reciprocal series related to Fibonacci and Lucas numbers with subscripts in arithmetic progression

@article{Frontczak2016NewRO,
title={New results on reciprocal series related to Fibonacci and Lucas numbers with subscripts in arithmetic progression},
author={R. Frontczak},
journal={The International Journal of Contemporary Mathematical Sciences},
year={2016},
volume={11},
pages={509-516}
}

The International Journal of Contemporary Mathematical Sciences

In this paper, we derive new expressions for some Fibonacci and Lucas number related reciprocal series with subscripts in arithmetic progression. We give expressions for both finite and infinite sums. The results, which we believe to be new, appear as special cases of some more general series identities, which we prove to be true. Mathematics Subject Classification: 11B39, 11Y60