Answer:
Option (3)
Step-by-step explanation:
Given sequence is,
8, -8, 8,...........
Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]
= -1
Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]
= -1
Therefore, there is a common ratio 'r' = (-1)
And the sequence is a geometric sequence.
Explicit formula for the nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Here, 'a' = First term of the sequence
r = Common ratio
n = nth term
For the given sequence xth term of the sequence will be,
[tex]T_x=8(-1)^{x-1}[/tex]
Option (3) will be the answer.
