Answer:
Option A. [tex]a_{1} =6[/tex] [tex]a_{n}= a_{n-1}(-4)[/tex]
Step-by-step explanation:
The given sequence in the question is 6,-24,96,-384.......n
and we have to give the recursive formula for this arithmetic sequence.
We can re write the sequence to make it more simpler
6,6(-4),(-24)(-4),(96)(-4).......n terms
Now we can say [tex]a_{1} = 6[/tex]
and [tex]a_{n}= a_{n-1}(-4)[/tex]
Therefore the recursive formula of the sequence is [tex]a_{1} = 6[/tex]
[tex]a_{n}= a_{n-1}(-4)[/tex]
