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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 \(5\)?

 Nov 28, 2022
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The remainder is 2.

 Nov 28, 2022

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