Question

Complete the recursive formula of the geometric sequence

− 0.1 , − 0.5 , − 2.5 , − 12.5 ,
C (1)=
C (n) = C (n-1) *

Answer 1

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: