Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 6"

Revision as of 20:06, 19 June 2008

Problem

Let $S$ denote the value of the sum

$\sum_{n = 1}^{9800} \frac{1}{\sqrt{n + \sqrt{n^2 - 1}}}$

$S$ can be expressed as $p + q \sqrt{r}$ , where $p, q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime. Determine $p + q + r$ .

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Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 6"

Revision as of 20:06, 19 June 2008

Problem

Solution

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Revision as of 07:33, 14 February 2008 (view source) 1=2 (talk \| contribs) ← Older edit	Revision as of 20:06, 19 June 2008 (view source) Azjps (talk \| contribs) m (Mock AIME 3 Pre 2005/Problem 6 moved to Mock AIME 3 Pre 2005 Problems/Problem 6: fix) Newer edit →
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