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Sequenta

Author: admin
Problem has been solved: 53 times

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The sequence $ a_n $ of real numbers is defined as follows: $ a_0 = \frac {6} {7} $ and $$ a_ {n + 1} = \begin {cases} 2a_n & \mbox {if} a_n <\frac {1 } {2} \\ 2a_n-1 & \mbox {if} a_n \geq \frac {1} {2} \end {cases} $$ The value $ a_ {2020} $ can be represented as the irreducible fraction $ \frac {m} {n} $, where $ m $ and $ n $ are natural numbers. What is $ m + n $ equal to?





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