examples of fibonacci sequence in nature essay

Examples of fibonacci sequence in nature essay series#

It follows that the nature of this concept is not originally purely mathematical but cross-profile. It should be recognized that historically this sequence was discovered by the European mathematician Leonardo of Pisa, who simulates the development of a population of rabbits isolated from the environment (Sweet 2017). Thus, given the Fibonacci sequence’s infinity, it is possible to identify the hundredth, thousandth, or even millionth number using formula models. In other words, there is a mathematical connection between all the elements of the series, which means that one can expect that there is a certain formulaic pattern that allows determining a specific member of the sequence, knowing only some of the necessary and sufficient data.

Examples of fibonacci sequence in nature essay series#

Turning to terminology, it is worth determining that the Fibonacci sequence is called a recursive numeric series of data, each of the subsequent terms of which is dependent on the previous one. For this reason, this work aims to collect and summarize useful data on the Fibonacci sequence and related mathematical concepts.

Finally, an important question of this research paper was a brief description of the life and work of Leonardo of Pisa, known in science as Fibonacci, who became a central figure in the mathematics of medieval Europe. Moreover, it was necessary to introduce a classification of known mathematical sequences and determine what their recursiveness proved. Thus, it was important to perform a critical analysis and determine the features and properties of this sequence, including to justify its presence in various, amazing spheres of life. The choice of a specific question was primarily due to the increased interest in the concept since it is known that Fibonacci numbers are not only used in arithmetic mathematics but also in art, construction, and biology. The topic of the Fibonacci sequence, which is a recursive set of numerical data, was chosen as the focus of the research in this paper. This is especially important if the research topic is directly related to the material that was disassembled during the semester: it will allow using skills of critical and logical thinking to collect new useful information. In other words, works in which it is necessary to parse the selected problem in detail are useful for both the reader and the author at the same time. Thus, thanks to the written works, the student has the opportunity to collect divided data on mathematical models - be it progressions, arithmetic operations, or the laws of algebra - into a single whole, conducting reflexive activities. The deep study of mathematical patterns allows the student not only to gain new knowledge about scientific concepts and expand the available information but also to systematize and structure the already known information.