The right-sided exponential sequence can be determined mathematically as

This sequence exists for positive values of *n*.

Fig. 6.1 shows the plot of this sequence.

**Fig. 6.1** Plot of *x*(*n*) = *a ^{n}u*(

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

Here *x*(*n*) = *a ^{n}* for

Expanding the above equation we can write

*X*(*z*) will converge for | *az*^{−1} | ...

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