Answer:
The [tex]n^{th}[/tex] of the sequence
[tex]t_{n} = ar^{n-1}[/tex]
The [tex]10^{th}[/tex] of the sequence
[tex]t_{10} = 5(5)^{10-1} = 9,765,625[/tex]
Step-by-step explanation:
Explanation:-
Given that the geometric sequence
5, 25 , 125 ,....
First-term a= 5
Difference [tex]r = \frac{25}{5} =5[/tex]
The [tex]n^{th}[/tex] of the sequence
[tex]t_{n} = ar^{n-1}[/tex]
The [tex]10^{th}[/tex] of the sequence
[tex]t_{10} = 5(5)^{10-1} = 9,765,625[/tex]
