Answer:
The nth term for the geometric sequence is given by:

where,
is the first term
r is the common ratio term
n is the number of terms.
Given the sequence:
-4, 12, -36,......
This is a geometric sequence with
and 
Since,
,
ans so on...
Substitute this in [1] we have;

Substitute n = 5 we have;

⇒
Recursive formula for the geometric sequence is given by:

Substitute the given values we have;

Therefore, the recursive formula and the 5th term in the sequence is,
; 