Nesty Nesty Nesty Radical

Level pending

\(M\) and \(N\) are consecutive integers (\(N = M + 1)\) such that \(M\) \(<\) \(\sqrt{55555 + \sqrt{55555^{2}+ \sqrt{55555^{3} + \sqrt{...}}}}\) \(<\) \(N\). Find the value of \(\frac{M+N}{7}\).

×

Problem Loading...

Note Loading...

Set Loading...