I am trying to solve the z-transform of the following sequence using Mathematica:

x[n]=-a^n u[-n-1]

The known result is $X(z)=z/(z-a)$ with ROC: $|z|<|a|$.

The Mathematica is unable to solve this case using the command:

ZTransform[-a^n UnitStep[-n-1], n, z, GenerateConditions -> True]

Would you mind me telling what the problem is?



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