Sums of Powers of Fibonacci and Lucas Numbers
Burke Hrovat
Elon University
Jacob Kelner
Elon University
Crista Arangala
Elon University
Abstract
This paper explores alternative closed forms for the sums of powers of Fibonacci and Lucas numbers. In particular, we will look at the sum of non-consecutive second through eighth powers of Fibonacci and Lucas numbers.
Author Biographies
Burke Hrovat, Elon University
Burke graduated from Elon University with a dual degree in finance and economics with a concentration in mathe-
matical economics. He is currently pursuing a career in analytics in the Chicagoland area and plans on completing a master’s degree in the near future.
Jacob Kelner, Elon University
Jacob Kelner graduated from Elon University with a degree in Biochemistry and Pure Mathematics in 2015, and currently attends Rowan University as a graduate medical student.
Crista Arangala, Elon University
Dr. Crista Arangala has been a professor of mathematics at Elon University for 16 years, where she currently sits as chair of the Elon University Mathematics and Statistics Department.
