The right-sided exponential sequence can be determined mathematically as

This sequence exists for negative values of *n*.

Fig. 6.3 shows the plot of this sequence.

**Fig6.3** Plot of x(n)

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

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

where *m* = −*n*.

Expanding the above equation we can write

*X*(*z*) will converge for | *a*^{−1}

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