Answer:
[tex]a_{7}[/tex] = [tex]\frac{3}{32}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a. [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 6 and r = [tex]\frac{1}{2}[/tex] , thus
a₇ = 6 × [tex](\frac{1}{2}) ^{6}[/tex] = 6 × [tex]\frac{1}{64}[/tex] = [tex]\frac{6}{64}[/tex] = [tex]\frac{3}{32}[/tex]
