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Found problems: 1

1958 February Putnam, A6
What is the smallest amount that may be invested at interest rate $i$, compounded annually, in order that one may withdraw $1$ dollar at the end of the first year, $4$ dollars at the end of the second year, $\ldots$ , $n^2$ dollars at the end of the $n$-th year, in perpetuity?
effective annual interest rate algebra