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The $n^{\text {th }}$ roots of unity are in
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The correct answer is:
G.P.
$x^n=1=\left(\cos 0+i \sin 0^{\circ}\right)=\cos 2 r \pi+i \sin 2 r \pi=e^{i 2 r \pi}$
$\Rightarrow \quad x=e^{i(2 r \pi / n)}, r=0,1,2$
Obviously the roots are $1, e^{2 \pi i / n}, e^{4 \pi / n}$ which are obviously in G.P. with common ratio $e^{2 \pi i / n}$
$\Rightarrow \quad x=e^{i(2 r \pi / n)}, r=0,1,2$
Obviously the roots are $1, e^{2 \pi i / n}, e^{4 \pi / n}$ which are obviously in G.P. with common ratio $e^{2 \pi i / n}$
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