Answer:
c(1)=-0.1
c(n)=c(n-1)*5
Step-by-step explanation:
The recursive definition of a geometric sequence is given by:
[tex]c(n) = c(n - 1) \times r[/tex]
where r is the common ratio.
The given given geometric sequence is −0.1 ,−0.5 ,−2.5 ,−12.5
c(1) is the first term.
This implies that:
c(1)=-0.1
To find the common ratio, we divide the subsequent terms of any two consecutive term by the previous term
[tex]r = \frac{ - 0.5}{ - 0.1} = 5[/tex]
The recursive formula is
c(1)=-0.1
c(n)=c(n-1)*5
