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

< AoPS Wiki:Problem of the Day
Revision as of 21:05, 15 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 16, 2011": Problem of the Day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))
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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 $k+n$.

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