Some Elementary Combinatory Properties and Fibonacci Numbers
نویسندگان
چکیده
In general, in the midst of History Mathematics textbooks, we are faced with a discussion due to curiosity about emblematic Fibonacci Sequence, whose popularization occurred proposition reproduction model immortal rabbits. On other hand, comparison multiple approaches and discussions certain subjects Elementary Mathematics, present work, highlight combinatorial interpretations that, support characteristic fundamental reasoning for mathematics teacher, can be generalized formalize some eminently intuitive components. particular, this work deals properties derived from notion tiling decomposition an integer depending on board, will correspond numbers Sequence. We bring theoretical supported by great names that research area.
منابع مشابه
Some Properties of Fibonacci Numbers
We formalized some basic properties of the Fibonacci numbers using definitions and lemmas from [7] and [23], e.g. Cassini’s and Catalan’s identities. We also showed the connections between Fibonacci numbers and Pythagorean triples as defined in [31]. The main result of this article is a proof of Carmichael’s Theorem on prime divisors of prime-generated Fibonacci numbers. According to it, if we ...
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ژورنال
عنوان ژورنال: Journal of Instructional Mathematics
سال: 2023
ISSN: ['2722-2179']
DOI: https://doi.org/10.37640/jim.v4i1.1756