... an algebratic expression Fk=Fk-1+Fk-2 (Ram, Rajesh). From here we get the beginning of the sequence as 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, Fibonacci sequences have proven useful in number theory, geometry, the theory of continued fractions, genetics, computer science, and many other fields. They also arise in many unrelated phenomena, for example, the Golden Section or Golden Ratio = ~1.6180, a shape valued ... ...

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