Answer:
In a geometric sequence, the common ratio between consecutive terms is constant.
Step-by-step explanation:
In a geometric sequence, the common ratio between consecutive terms is constant.
The n-th term of a geometric sequence with first term [tex]a[/tex] and common ratio [tex]r[/tex] is represented by the formula:
[tex]a_{n}=a\,r^{n-1}[/tex]
For example,
[tex]1, -3, 9, -27, 81, -243, ...[/tex]
As the common ratio 'r' between consecutive terms is constant.
So, the common ratio between consecutive terms is constant i.e. -3. Thus, it is a geometric sequence with a common ratio -3.
