\( a_{n+1}=5 ^n a_n\)
Calculus
Level
2
The sequence \(\{a_n\}\) satisfies \(a_1=1\) and \[ a_{n+1}=5 ^n a_n \text{ for } n \geq 1.\]
For what value of \(k\) do we have \(a_k=5 ^{276}\)?
by
Mahindra Jain