MathForces: Math Olympiads
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Author: daniyar
Problem has been solved: 46 times

Русский язык | English Language

The sequence $ a_n $ is defined as follows: $(a_1-5)(a_1-7)=0$ and $(a_{n+1}-5^{a_n})(a_{n+1}-7^{a_n})=0$ for all positive integers $ n $. Find the sum of all possible values of $a_{2012}$ $mod$ $ 100$.

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