Answer:
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 200,40,8[/tex]
Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term
[tex]a = 200[/tex]
Calculate common ration
[tex]r = \frac{40}{200}[/tex] or [tex]r = \frac{8}{40}[/tex]
[tex]r = \frac{1}{5}[/tex]
So, the nth term is:
[tex]T_n = ar^{n-1[/tex]
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
