Answer:
Common ratio = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
[tex]T_{n}=a(r)^{n-1}[/tex]
Where [tex]T_{n}[/tex] = nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = [tex]\frac{\text{Successive term}}{\text{previous term}}[/tex]
= [tex]\frac{6}{12}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, common ratio will be [tex]\frac{1}{2}[/tex]
