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\[\large \left\lfloor \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}} + \cdots + \frac{1}{\sqrt{992016}}\right\rfloor = \, ? \]

\(\) Notation: ...

True or False?

The infinite sequence ...

\(p(x)\) is a polynomial of degree \(17\).

All roots of \(p(x)\) are real ...

If \(\displaystyle \sum_{i=1}^N \phi^i = 4180 + 6764\phi\), where \(\phi=\frac{1+\sqrt{5}}{2}\), what is N?

A monic polynomial \( f(x )\) of degree four satisfies \(f(1)=10\), \(f(2)=20\), and \(f(3)=30\). Determine \[f(12)+f(−8)-19000.\]

This problem is posed by ...

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