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Let \(x,y\) and \(z\) be positive numbers such that their harmonic mean is \(h\), and the harmonic mean of \(1+x,1+y,1+z\) is \(H\). Show that \(H\geq 1 +h\).

Note by Alpha Beta 2 years, 8 months ago

Easy Math Editor

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This is a quote

# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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Oh, that's a nice question. I think that with the right approach, it need not be lengthy.

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Sir can you just post the solution to it.

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestOh, that's a nice question. I think that with the right approach, it need not be lengthy.

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Sir can you just post the solution to it.

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