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Fibinacco series

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In  mathematics , the  Fibonacci numbers  are the numbers in the following  integer sequence , called the  Fibonacci sequence , and characterized by the fact that every number after the first two is the sum of the two preceding ones: [1] [2] {\displaystyle 1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots } Often, especially in modern usage, the sequence is extended by one more initial term: {\displaystyle 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots } . [3] The Fibonacci spiral: an approximation of the  golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; [4]  this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13 and 21. 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  F n ...