Fibonacci number reisied - Introduction I choose to explore Fibonaccis number to learn more about the symmetry in nature I was curious about the reason

Fibonacci number reisied - Introduction I choose to explore...

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Introduction I choose to explore Fibonacci’s number to learn more about the symmetry in nature. I was curious about the reason that plants and animal grow certain ways. Also, I was hoping to explore the reasoning of the shapes in plants and the seed shape in plants. I had always seen the poster in my math class room showing some of the objects in nature that deal with Fibonacci’s number. I wanted to learn more about the number to fulfill my curiosity for the subject and learn more about nature. Fibonacci’s Number The Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two. The sequence, in which each number is the sum of the two preceding numbers is known as the Fibonacci series The Fibonacci sequence, generated by the rule f1 = f2 = 1 , fn+1 = fn + fn-1 In mathematical terms, the sequence F n of Fibonacci numbers is defined by the recurrence relation with seed values or 1 | P a g e
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List of Fibonacci’s Number The first 21 Fibonacci numbers F n for n = 0, 1, 2, ..., 20 are: F 0 F 1 F 2 F 3 F 4 F 5 F 6 F 7 F 8 F 9 F 10 F 11 F 12 F 13 F 14 F 15 F 16 F 17 F 18 F 19 F 20 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 258 4 4181 676 5 The sequence can also be extended to negative index n using the re-arranged recurrence relation which yields the sequence of "negafibonacci" numbers [18] satisfying Thus the bidirectional sequence is F −8 F −7 F −6 F −5 F −4 F −3 F −2 F −1 F 0 F 1 F 2 F 3 F 4 F 5 F 6 F 7 F 8 −21 13 −8 5 −3 2 −1 1 0 1 1 2 3 5 8 13 21 2 | P a g e
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Fibonacci’s Number in Nature Fibonacci sequences appear in biological settings, in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone, and the family tree of honeybees. The Fibonacci numbers are Nature's numbering system The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.
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