Answer:
B. 1/384
Step-by-step explanation:
a1=1/3
a2 = 1/6
The constant factor is 1/2
a1=2/3*1/2
a2=2/3*1/2^2
a8=2/3*(1/2)^8
2/3*1/256
Answer:
B
Step-by-step explanation:
Given the sequence is geometric then the common ratio r is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{1}{6} }{\frac{1}{3} }[/tex] = [tex]\frac{1}{2}[/tex]
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex](r)^{n-1}[/tex]
= [tex]\frac{1}{3}[/tex] × [tex](\frac{1}{2}) ^{7}[/tex]
= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{128}[/tex] = [tex]\frac{1}{384}[/tex]
