What is the nth term rule of the linear sequence below? 5,8,11,14,17

(btw it says the nth term not the 9th.)

9514 1404 393

  an = 5 +3(n -1)

Step-by-step explanation:

The n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...

  an = 5 +3(n -1)

If you like, you can simplify this to ...

  an = 5 +3n -3

  an = 3n +2

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0