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I have the following series:

$\sum_n{a_n}$, where $a_1 = 1$, $a_{n+1} = a_n \,\frac{2 + \cos n}{\sqrt n}$. Does it converge or diverge?

Edit: formatted.

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    Please do use LaTeX to properly write mathematics. I tried to edit your post but it confuses me. In FAQ you can find some directions for this.2012-11-20
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    @DonAntonio You got it right! I did not know it was using LaTeX at all. May you help me to figure it out now?>2012-11-20

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