Question

Which recursive formula defines this sequence for n > 1?

Answer 1

Answer:

(B)$a_n=a_{n-1}+3$

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 ($a_n$) is an addition of 3 to the previous term ($a_{n-1}$).

Therefore (for n>1), the recursive formula which defines the sequence is:

$a_n=a_{n-1}+3$

The correct option is B