What is the Correct Z-Transform of x(n) = -2^n u(-n-1)?

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SUMMARY

The correct Z-transform of the sequence x(n) = -2^n u(-n-1) is 0.5/(1-2z^(-1)), as confirmed by the discussion. The user initially calculated the Z-transform as 1/(1-2z^(-1)), which was incorrect. The discrepancy arises from the application of the Z-transform definition and the geometric series. Proper simplification and factorization techniques are essential for arriving at the correct result.

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nelectrode
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Hi guys,

I am trying to find the z-tranform of the following equation: x(n) =-2n u(-n-1)

Using the Z-transform definition,summation and geometric series
I am getting 1/(1-2z-1)

But according to my lecturer the answer is suppose to be 0.5/(1-2z-1)

I have tried simplification/factorization and still seems to be wrong.

Thanks
 

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