# Sequence

Author: daniyar
Problem has been solved: 42 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 $a_{2012}$ $mod$ $100$.