Fibonacci Sequence Essay

The Fibonacci Sequence Though the name sounds intimidating, the Fibonacci sequence is just a series of numbers obtained by adding the previous two entries together to get the new entry. The sequence, though usually only found within mathematical problems, can be applied in various ways, and is found in nature. It is related to several mathematical concepts, like the golden ratio and Pascal’s Triangle. It is involved in almost every aspect of life, including education, natural events, and even stock exchanges. The Fibonacci sequence has a long and complex history; its roots can be traced back to India, around 200 BC or perhaps earlier. Pingala, the author of Chandaḥśāstra, used Sanskrit poetry to find patterns between long and short syllables; he provided the first description of a binary numeral system and is given partial credit to the development of the Fibonacci sequence (Lecture 32). Virahanka was an Indian mathematician that built on Pingala’s work with poetry meters; he showed how the sequence was present in the analysis of poetry meters with short and long syllables and also provided commentary for Pingala’s work, Chandaḥśāstra (. Hemachandra, a mathematician from the state of Gujarat in India, expanded upon the work of Pingala and Virahanka. 50 years before Leonardo of Pisa would present his
The numbers in the sequence can be found in Pascal’s triangle by adding the diagonal numbers in the triangle, as seen in figure ( ) . This connection may be present because both of them are built upon recursive relations. The relationship between the Fibonacci and Lucas sequences has some history; Edouard Lucas (1842-1891) became interested in the Fibonacci sequence and was even the first person to call it by that name. He created an entirely new sequence that started with 2 and 1 instead of 0 and