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What is the significance of the Fibonacci number series?

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THE FIBONACCI SEQUENCE, SPIRALS AND THE GOLDEN MEAN. The Fibonacci sequence exhibits a certain numerical pattern which originated as the answer to an exercise in the first ever high school algebra text. This pattern turned out to have an interest and importance far beyond what its creator imagined. read more

Fibonacci series is has slowest convergence (takes the longest number of iterations) in Euler's method of finding GCD GCD(a,b) : = GCD(b,a%b) if b>0 GCD(a,b) : = a if b=0 in Fibonacci series, if two consecutive Fibonacci numbers a and b are given, (and a>b), then a%b = a-b. read more

The Fibonacci sequence exhibits a certain numerical pattern which originated as the answer to an exercise in the first ever high school algebra text. This pattern turned out to have an interest and importance far beyond what its creator imagined. read more

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