Which of the following represents a recursive sequence?A.a(n)=3(n)-2B.a(n)=3x3^(n-1)C.a(n)=3xa(n-1)D.a(n)=3

Answer:Option C is correct.[tex]a_n=3 a_{n-1}[/tex] Step-by-step explanation:For a sequence [tex]a_1, a_2, a_3, . . . , a_n, . . .[/tex]A recursive formula is a formula that requires the computation of all previous terms in order to find the value of [tex]a_n[/tex]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:[tex]a_n = a_{n-1}+d[/tex]Next, for geometric sequence has a common ratio(r)the recursive formula is given by;[tex]a_n = ra_{n-1}[/tex]Therefore, from the given options you can see that the only option C which represents the recursive sequence is, [tex]a_n=3 a_{n-1}[/tex] where r =3 is the common ratio.