The *z*-transform of the sequence *x*(*n*) is given by

Eq. (6.76) gives the expansion in power series form. From power series we get the following sequence:

It is possible to get the power series expansion directly or by long division. In power series expansion technique ROC has a vital role.

**Example 6.9** Determine the inverse *Z*-transform of by long division method when (a) ROC: | *z* | > 1 and (b) ROC: respectively.

**Solution**

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