Abstract:
There are many Fibonacci identities to be found in short informal articles in the early
editions of The Fibonacci Quarterly. See, for example, [1] and [2]. The aim of the authors was
to gather Fibonacci identities from diverse sources and display them for all to see. Many of the
identities that appeared were quite old and possessed beautiful symmetry. As such, some were
already classics, and today appear regularly in research papers. Perhaps the best example is
Simson's identity, which has undergone many generalizations. For an up to date account see
[7]. However, other identities have received little or no attention, and have not featured in the
literature since those early days. The purpose of this paper is to present some new insight into
two such identities. We assume throughout that the sequences in this paper are defined for all
integers, and henceforth we do not restate this.