Which of the following represents a recursive sequence? a. a(n)=3(n)-2 b. a(n)=3x3^(n-1) c. a(n)=3xa(n-1) d. a(n)=3

Option C is correct.

Step-by-step explanation:

For a sequence

A recursive formula is a formula that requires the computation of all previous terms in order to find the value of

There is two simple examples of recursive definitions are for:

Arithmetic sequences and geometric sequences.

An arithmetic sequence has a common difference(d) or a constant difference  between each term.

Then the recursive formula for arithmetic sequence is:

Next,

for geometric sequence has a common ratio(r)

the recursive formula is given by;

Therefore, from the given options you can see that the only option C which represents the recursive sequence is, where r =3 is the common ratio.