Answer:
[tex]\frac{1}{25}[/tex], [tex]\frac{1}{5}[/tex], 1
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
Given
a₅ = 25 and r = 5, then
a₁ [tex](5)^{4}[/tex] = 25
625 a₁ = 25 ( divide both sides by 625 )
a₁ = [tex]\frac{25}{625}[/tex] = [tex]\frac{1}{25}[/tex]
a₂ = 5 × a₁ = 5 × [tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5}[/tex]
a₃ = 5 × a₂ = 5 × [tex]\frac{1}{5}[/tex] = 1
