Another progressions question. plz ans fast.

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$\frac{a^{n+1} + b^{n+1}}{a^n+b^n} = \sqrt{ab}$

Putting x = a/b, the equation becomes:

$\frac{x^{n+1} + 1}{x^n+1} = \sqrt{x}$

or $x^{n+1} + 1 =x^{n + \frac{1}{2}}+\sqrt x$

or $x^{n+\frac{1}{2}}(\sqrt x-1) = \sqrt x-1$

or $x^{n+\frac{1}{2}}=1 \Rightarrow n = -\frac{1}{2}$

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