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The infinite sequence \(S=\{s_1,s_2,s_3,\ldots\}\)is defined by \(s_1=7\) and \(s_n=7^{s_{n-1}}\)for each integer \(n>1\). What is the remainder when \(s_{100}\) is divided by 5. 

 Sep 1, 2021
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The remainder when $s_{100}$ is divided by 5 is $\boxed{4}$.

 Sep 1, 2021

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