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Mathematics, 28.11.2019 19:31 Celsie

For $n \ge 0$, let $f_n$ denote the $n$th fibonacci number (that is, $f_0 = 0, f_1 = 1$, and $f_n = f_{n-1} + f_{n-2}$ for all $n \ge 2$). what is the greatest possible value of the greatest common divisor of two consecutive fibonacci numbers?

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For $n \ge 0$, let $f_n$ denote the $n$th fibonacci number (that is, $f_0 = 0, f_1 = 1$, and $f_n =...
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