Answer:
[tex]c(n)=-5c(n-1)\\c(1)=-0.6[/tex]
Step-by-step explanation:
Given the geometric sequence
-0.6, 3, -15, 75, ...
Common ratio, [tex]r=\dfrac{3}{-0.6} =\dfrac{-15}{3}=-5[/tex]
The next term, [tex]c(n)[/tex] is obtained by multiplying the previous term c(n-1) by -5.
Therefore, the recursive formula for the sequence is:
[tex]c(n)=-5c(n-1)\\c(1)=-0.6[/tex]
