Which recursive formula defines this sequence for n > 1?

3, 6, 9, 12, 15, 18, ...

Question 4 options:

an=3an−1

an=an−1+3

an=13an−1

an=an−1−3

(B)

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 () is an addition of 3 to the previous term ().

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

The correct option is B

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.