Another type of generalized fibonacci series

Abstract

The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation. The analysis shows the divergence of the generalized series when the coefficient is the square root of a positive number, although the relation between two consecutive terms converges to a finite number when the coefficient is a real number. Fibonacci. Series. Convergence.

Keywords

• Fibonacci.
• Séries
• Convergência.