Answer:
(B)[tex]a_n=a_{n-1}+3[/tex]
Step-by-step explanation:
Given the sequence: 3, 6, 9, 12, 15, 18, ...
6=3+3
9=6+3
12=9+3
If we continue in like manner, we notice that the nth term ([tex]a_n[/tex]) is an addition of 3 to the previous term ([tex]a_{n-1}[/tex]).
Therefore (for n>1), the recursive formula which defines the sequence is:
[tex]a_n=a_{n-1}+3[/tex]
The correct option is B
