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$a_{n+1}=5 ^n a_n$

Calculus Level 2

The sequence $\{a_n\}$ satisfies $a_1=1$ and $a_{n+1}=5 ^n a_n$ for $n \geq 1$ .

For what value of $k$ do we have $a_k=5 ^{276}?$

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by Mahindra Jain

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