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Z-Transforms

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What is the Z-Transform of the sequence (x[n] = a^n), where (a) is a constant?

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A
\(X(z) = \frac{z}{z - a}\)
💡 Explanation:

The Z-Transform of (x[n] = a^n) is (X(z) = \sum_{n=0}^\infty a^n z^{-n} = \frac{z}{z - a}).

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