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The sequence {an}\{a_n\}{an} satisfies a1=1a_1=1a1=1 and an+1=5nana_{n+1}=5 ^n a_nan+1=5nan for n≥1n \geq 1n≥1.
For what value of kkk do we have ak=5276?a_k=5 ^{276}?ak=5276?
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