Answer:
[tex]T_9 = 46.118408[/tex]
Step-by-step explanation:
Given
800, 560, 392, ...
Required
Determine the 8th term
The above sequence shows a geometric sequence and the nth term is calculated by:
[tex]T_n = a * r^{n-1[/tex]
r is calculated by:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{560}{800}[/tex]
[tex]r = 0.7[/tex]
[tex]a = 800[/tex] --- First term
[tex]n = 9[/tex]
So:
[tex]T_n = a * r^{n-1}[/tex]
[tex]T_9 = 800 * 0.7^{9-1[/tex]
[tex]T_9 = 800 * 0.7^8[/tex]
[tex]T_9 = 46.118408[/tex]
