Answer
A sequence in which each term after the first is obtained by multiplying the preceding term by a fixed nonzero constant is called a geometric sequence.
For example:
$1,2,4,8,16\ldots $
Work Step by Step
A geometric sequence is the sequence in which each term after the first is obtained by multiplying the preceding term by a fixed nonzero constant.
$a,ar,a{{r}^{2}},a{{r}^{3}},\cdots $.
Consider the sequence,
$1,2,4,8,16\ldots $
In the sequence given above, the common ratio between two consecutive terms is constant.
For example,
$\begin{align}
& \frac{2}{1}=\frac{4}{2} \\
& =\frac{8}{4} \\
& =\frac{16}{8} \\
& =2
\end{align}$
So, 2 is the fixed nonzero constant ratio.
