Complete the recursive formula of the geometric sequence −0.1 ,−0.5 ,−2.5 ,−12.5
c(1)=
c(n)=c(n-1)*

c(1)=-0.1

c(n)=c(n-1)*5

Step-by-step explanation:

The recursive definition of a geometric sequence is given by:

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

The recursive formula is

c(1)=-0.1

c(n)=c(n-1)*5

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