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

34

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls