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Z-Transform of the Sequence & Indicate the Region of Convergence

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The z-transform of x(n) is X(z) = 1 / (1 + 0.5 z^-1), |z| <= 0.5 . Determine the z-transform of the following sequence and indicate it's region of convergence.

x1(n) = x(3-n) + x(n-3).

See the attached file.

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The solution determines the z-transform of the sequence and indicates the region of convergence.

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