Answer:
[tex]a_{4}[/tex] = 3.75
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 = 30 and r = [tex]\frac{1}{2}[/tex], thus
[tex]a_{4}[/tex] = 30[tex](\frac{1}{2}) ^{3}[/tex] = 30 × [tex]\frac{1}{8}[/tex] = [tex]\frac{30}{8}[/tex] = [tex]\frac{15}{4}[/tex] = 3.75
