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Let a sequence x(1),x(2),x(3),… of compl...

Let a sequence `x_(1),x_(2),x_(3),…` of complex numbers be defined by `x_(1)=0, x_(n+1)=x_(n)^(2)-i` for all ` n >1`, where `i^(2)=-1`. Find the distance of `x_(2000)` from `x_(1997)` in the complex plane.

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The correct Answer is:
`sqrt(5)`
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