Fibonacci Sums Modulo 5

Abstract

We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.

Keywords

• 11b39
• 11b37
• fibonacci number
• lucas number
• bernoulli polynomial
• chebyshev polynomial
• trigonometric identity
• binomial sum