olymmath

HMMT 2001 U14

  • Guts
  • Answer

Find the exact value of 1+11+21+11++21+…1+\frac{1}{1+\frac{2}{1+\frac{1}{1++\frac{2}{1+\ldots}}}}.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\sqrt{2}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2001/u14 · Tag PESQ6BDFHR · Edit this page on GitHub · Keys: j next, k previous