Respuesta :
if the terms of a geometric sequence are
[tex]a_{1}[/tex], [tex]a_{2}[/tex], [tex]a_{3}[/tex], [tex]a_{4}[/tex], .....
then the common ratio r = [tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{a_{2} }{a_{1} }[/tex]
Answer:
In a geometric sequence the ratio between consecutive terms is constant.
Step-by-step explanation:
A geometric sequence is that sequence where the ratio between two consecutive terms is constant.
This ratio is called the common ratio.
For example:
Lets take an example :
1,6,36,216,1296,.....
To find the common ration we divide the second term by first term.
[tex]\frac{6}{1} =\frac{216}{36} =6[/tex]
Here, the common ratio is 6.
