A geometric sequence is given by:
[tex]a_n=a\cdot r^{n-1}[/tex]Where:
a = First term of the sequence
r = Common ratio
Using the data provided:
[tex]\begin{gathered} a=256 \\ a_2=64=256\cdot r \\ r=\frac{1}{4} \end{gathered}[/tex]Therefore, the geometric sequence is:
[tex]\begin{gathered} a_n=256(\frac{1}{4})^{n-1} \\ _{\text{ }}since \\ a_3=16 \end{gathered}[/tex]We can conclude it is a geometric sequence and its common ratio is 1/4
Answer:
c) yes, 1/4
