A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fourth student who enters the classroom and every ninth student after that. Determine the students who will be going to the board. Write down the student numbers.

The number of the students who got selected are 4,13,22,31.

Step-by-step explanation:

The professor wants to select 4 students randomly.

She randomly select the fourth and every ninth student after that

First the 4th student is selected

Now by using the next term formula which is

=>a + d (n-1)

The next student is the 2nd student.

=>4 + 9 (2-1)

=>4 + 9 (1)

=>4 + 9

=> 13

The 3rd student will be

=>4 + 9 (3-1)

=>4 + 9 (2)

=>4 + 18

=> 22

The 4th student will be

=>4 + 9 (4-1)

=>4 + 9 (3)

=> 4 + 27

=> 31