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The Fibonacci Numbers

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The Fibonacci numbers also known as the Fibonacci sequence is a set of numbers where after the first two numbers, every number is the sum of the two preceding numbers. It begins in most examples at one however it has been shown to start with zero, the first ten numbers in the sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. This sequence is an important mathematical figure that is seen in many other theorems in mathematics and also the surrounding natural world. This sequence first appears in Indian mathematics and even in Indian poetry, this quote by Gopala an Indian poet from around 1135 states that “For example, for a meter of four lengths, variations of meters of two and three being mixed, five happens this also works out with examples 8, 13, 21]... In this way, the process should be followed in all mātrā-vṛttas”. To deconstruct this it is necessary to match the numbers of the sequence mentioned in the quote with the numbers that exist in the sequence, Gopala mentions the sequence of two numbers creating the next in the sequence, 2 & 3 to 5 and then 8 & 13 to 21, that the meters in Indian poetry add together just as it is in the fibonacci sequence. When this idea travels outside of India it is first posed in the book Liber Abaci written by Fibonacci, whose real name was Leonardo Bonacci. Leonardo was born in Pisa around the year 1175, his father was a wealthy Italian merchant who bought along his son on his journeys around the Mediterranean world, in these travels

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