Answer: To find the recursive formula of the geometric sequence -0.1, -0.5, -2.5, -12.5, we need to find the common ratio first.
The common ratio is found by dividing any term in the sequence by the previous term. Let's use the second and first terms:
Common ratio = -0.5 / (-0.1) = 5
So the recursive formula for this geometric sequence is:
C(1) = -0.1 (this is the first term)
C(n) = C(n-1) * 5
Therefore, the recursive formula is:
C(1) = -0.1
C(n) = 5C(n-1)
Explanation: