Answer:
Option (C)
Step-by-step explanation:
Geometric sequence has been given as,
6, -24, 96. -384.......
First term of this sequence = 6
[tex]a_1=6[/tex]
Recursive formula of geometric sequence is given by,
[tex]a_n=a_{n-1}(r)[/tex]
Here r = common ratio of successive and previous term
From the given sequence,
r = [tex]\frac{a_2}{a_1}[/tex]
= [tex]\frac{-24}{6}[/tex]
= (-4)
Recursive formula of the given sequence will be,
[tex]a_n=a_{n-1}.(-4)[/tex]
Therefore, Option (C) will be the correct option.
