Answer
The statement makes sense.
Work Step by Step
A general term of a geometric sequence is given by:
${{a}_{n}}={{a}_{1}}\times {{r}^{n-1}}$
The exponential function f with base b is defined as below:
$f\left( x \right)={{b}^{x}}$
A vertical stretch or shrink of the above exponential function is represented by:
$g\left( x \right)=a\times {{b}^{x}}$
Substituting r in place of b and $n-1$ in place of x we get,
$g\left( x \right)=a\times {{r}^{n-1}}$
So, if we compare the function $f\left( x \right)$ and $g\left( x \right)$, we can see that both are exponential functions.
So, a geometric sequence is an exponential function whose domain is the set of positive integers.
