Answer:
[tex]a_{10}[/tex] = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]
Substitute in values
[tex]a_{10}[/tex] = 320 × [tex](\frac{1}{2}) ^{9}[/tex]
= 320 × [tex]\frac{1}{512}[/tex] = [tex]\frac{320}{512}[/tex] = [tex]\frac{5}{8}[/tex] = 0.625
