Answer:
The first term is 0.04.
The second term is 0.2.
The third term is 1.
Step-by-step explanation:
In a geometric sequence, we have that:
[tex]a_{n+1} = r*a_{n}[/tex].
In which r is the common ratio.
In this problem, we have that:
[tex]a_{5} = 25[/tex] and [tex]r = 5[/tex]. So:
[tex]a_{n+1} = r*a_{n}[/tex].
[tex]a_{5} = 5*a_{4}[/tex]
[tex]25 = 5a_{4}[/tex]
[tex]a_{4} = 5[/tex]
--------
[tex]a_{4} = 5*a_{3}[/tex]
[tex]5 = 5a_{3}[/tex]
[tex]a_{3} = 1[/tex]
The third term is 1.
--------
[tex]a_{3} = 5*a_{2}[/tex]
[tex]1 = 5a_{2}[/tex]
[tex]a_{2} = 0.2[/tex]
The second term is 0.2.
--------
[tex]a_{2} = 5*a_{1}[/tex]
[tex]0.2 = 5a_{1}[/tex]
[tex]a_{1} = 0.04[/tex]
The first term is 0.04.
