[tex]5^{n}[/tex]
Step-by-step explanation:
Geometric progression, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
The first term of the Geometric progression is [tex]a[/tex] and common ratio is [tex]r[/tex].
The series will look like [tex]a,ar,ar^{2},ar^{3}...[/tex]
With [tex]a=1[/tex] and [tex]r=5[/tex],
we get [tex]1,5,25,625...[/tex]
This is the given sequence.
Any term can be calculated by [tex]ar^{n}=5^{n}[/tex]
