We solved Problem B-1337 from The Fibonacci Quarterly. In this problem, we show that the sum and difference of ratios of Fibonacci numbers is equivalent the product of two consecutive Fibonacci numbers. We prove a similar result for Lucas numbers. We use the Gelin-Cesaro Identity as well as a related identity to prove the equations of Problem B-1337.

Partnered with Connor Salch, The Citadel, Class of 2027, Physics Major, who will be attending the conference and presenting the poster as a co-presenter.