Respuesta :
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 10 and r = [tex]\frac{1}{2}[/tex], thus
[tex]a_{5}[/tex] = 10 × [tex](1/2)^{4}[/tex] = 10 × [tex]\frac{1}{16}[/tex] = [tex]\frac{5}{8}[/tex]
