Question

a professor wants to randomly select 4 students to go to the board. she decides to randomly select the fifth student who enters the classroom and every eighth student after that. determine the students who will be going to the board. write down the student numbers.
the numbers of the students that will be going to the board are
(use a comma to separate answers as needed.)

Explanation:

Step1: Identify first - selected student

The first - selected student is the 5th one.
Let the first - selected student number be \(n_1 = 5\).

Step2: Find second - selected student

We select every 8th student after the first - selected one. So the second - selected student number \(n_2=n_1 + 8=5 + 8 = 13\).

Step3: Find third - selected student

The third - selected student number \(n_3=n_2 + 8=13+8 = 21\).

Step4: Find fourth - selected student

The fourth - selected student number \(n_4=n_3 + 8=21 + 8=29\).

Answer:

5,13,21,29