During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.

AoPS Wiki:Problem of the Day/June 16, 2011

There exist rational numbers $k$ and $n$ such that the infinite geometric series with first term $k$ and common ratio $n$ converges to $2$, while the series with first term $n$ and common ratio $k$ converges to $3$. Find the value of $k+n$.

Invalid username
Login to AoPS