SOLUTION: At Linear High School, there are n lockers all located along a very long hall numbered consecutively from 1 to n . One day, n students, who have been likewise numbered from 1 to n

Question 356485: At Linear High School, there are n lockers all located along a very long hall numbered consecutively from 1 to n . One day, n students, who have been likewise numbered from 1 to n did this:
Student 1 opened all lockers
Student 2 closed every second locker
Student 3 changed the position of every third locker starting with the third locker (the student opened any locker that was closed and closed any locker open)
student 4 changed the position of lcokers 4,8,12.....
This process continues until each person had walked the length pf corridor. Of course, the last student, student n strolled to the end of the corridor where they changed the position of locker n.
Which lockers were open and which were closed at the end.
( I know it has to do with factors of a number, I tried a general formula nx+n but did not give me enough info)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
See this page for an idea on how to do this problem (scroll down to find my post).

If you need more help, let me know.
RELATED QUESTIONS
At very long hotel in Arnold, MD, there are n rooms located along a very long corridor... (answered by 303795)

Three lockers are numbered consecutively (n,n+1,n+2) in such a way that the sum of the... (answered by )

Three lockers are numbered consecutively (n,n+1,n+2) in such a way that the sum of the... (answered by ewatrrr)

A new high school has just been opened, with an enrollment of 1000 students. The school... (answered by acalgebra)

there are 1000 lockers on a hall,#'d 1-1000. Student 1 opens all lockers, #2 closes 2,4,6 (answered by jim_thompson5910)

In a particular school there are exactly 1000 lockers numbered 1 to 1000. In this school (answered by rapaljer,richard1234)

the numbers on two consecutively numbered gym lockers hsve a sum of 119. What are the... (answered by rfer)

The numbers on two consecutively numbered gym lockers have a sum of 139. What are the (answered by TimothyLamb)

The number on two consecutively numbered gym lockers have a sum of 131. What are the... (answered by Alan3354,macston)