A geometric approach to relations between Fibonacci and Leonardo numbers with the contribution of GeoGebra.
DOI:
https://doi.org/10.23925/2237-9657.2024.v13i2p032-047Keywords:
geometric representation, Fibonacci sequence, Leonardo sequence, GeoGebraAbstract
The study of numerical sequences is well covered in the context of Pure Mathematics, in particular the Fibonacci sequence that proves from the problem of infinite rabbits and is addressed in several areas. And, also, from this sequence is to present other sequences, for example: the Leonardo sequence, this sequence has a similarity with the Fibonacci sequence because it requested similar recurrence and its numbers present a possible relationship between them. Thus, this article deals with a tolerant approach on the relationships of Fibonacci and Leonardo numbers using the GeoGebra software. In addition, the definitions and properties that make the relationship between these numbers were tolerated. As well as a geometric construction from graphs, through the studied sequences, creating identities based on triangles formed from the connection between the numbers.
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