2017arXiv (Cornell University)Open access

Generalizations for reciprocal Fibonacci-Lucas sums of Brousseau

Kunle Adegoke

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Abstract

We derive closed form expressions for finite and infinite Fibonacci-Lucas sums having products of Fibonacci or Lucas numbers in the denominator of the summand. Our results generalize and extend those obtained by pioneer Brother Alfred Brousseau and later researchers.

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We derive closed form expressions for finite and infinite Fibonacci-Lucas sums having products of Fibonacci or Lucas numbers in the denominator of the summand. Our results generalize and extend those obtained by pioneer Brother Alfred Brousseau and later researchers.

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Available abstract

We derive closed form expressions for finite and infinite Fibonacci-Lucas sums having products of Fibonacci or Lucas numbers in the denominator of the summand. Our results generalize and extend those obtained by pioneer Brother Alfred Brousseau and later researchers.

Key concepts: Fibonacci number, Reciprocal, Lucas number, Mathematics, Fibonacci polynomials, Lucas sequence, Combinatorics, Philosophy

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