Answer
A sequence in which each term after the first is obtained by multiplying the preceding term by a fixed non zero constant is called a Geometric sequence.The amount by which we multiply each time is called the common ratio of the sequence.
Work Step by Step
A sequence in which each term is obtained after the first by multiplying the preceding term by a fixed nonzero constant is called a geometric sequence.
Let the sequence be, $1,2,4,8,16\ldots $
In the above sequence, the common ration between two consecutive terms is constant.
For example,
$\begin{align}
& \frac{2}{1}=\frac{4}{2} \\
& =\frac{8}{4} \\
& =\frac{16}{8} \\
& =2
\end{align}$
Therefore, the common ration is a fixed nonzero constant, which is 2 in this case.
Hence, the amount which is multiplied each time is called the common ratio of the sequence.
