Answer :
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.