Answer:
r=0.6
Step-by-step explanation:
Consider geometric sequence
[tex]b_1=6,\\ \\b_2=3.6,\\ \\b_3=2.16,\\ \\b_4=1.296,...[/tex]
In geometric sequence
[tex]b_i=b_{i-1}\cdot r,[/tex]
then
[tex]b_2=b_1\cdot r[/tex]
and
[tex]3.6=6r,\ r=\dfrac{3.6}{6}=0.6.[/tex]
Note that
[tex]2.16=3.6\cdot 0.6,\\ \\1.296=2.16\cdot 0.6.[/tex]
This means that ratio r=0.6.
