Answer:
[tex]a_{n}[/tex] = 0.45[tex](5)^{n-1}[/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]
where r is the common ratio and [tex]a_{1}[/tex] the first term
here [tex]a_{1}[/tex] = 0.45 and r = 5, hence
[tex]a_{n}[/tex] = 0.45[tex](5)^{n-1}[/tex] ← explicit formula
