Algrebra

posted by .

A new high school has just been opened, with an enrollment of 1000 students. The school has 1000 lockers, numbered 1 to 1000, to accommodate them. On the first day of school all 1000 lockers are closed. The first student enters the school and opens all of the lockers. The second student follows and closes every second locker, beginning with the second locker. The third student enters the school and reverses every third locker beginning with the third. This procedure continued until all 1000 students have passed by all of the lockers. When they finish, which lockers will be open?

  • Algrebra -

    I think all of the lockers will be open at the end

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. carver

    there are lockerslined up numbered 1 to 1000.They are all closed . i walk by and open all the lockers . then Al walks by and goes to every second locker starting at #2and closes it. Then Mary goes to every third locker starting with …
  2. geometry

    At Millock Highschool, there are 1,000 lockers and 1,000 students. The first day of school, all the students line up outside of the school and enter one at a time. The first student touches evry locker,the second student touches evry …
  3. Math 6th

    Imagine there are 1000 lockers and 1000 students at school. The 1st student who comes through the school opens every locker as they enter the school. The 2nd student walks in and closes every other locker begining with locker number …
  4. 9th grade

    A new high school has just been completed. There are 1,000 lockers in the long hall of the school and they have been numbered from 1 to 1,000. During lunch, the 1,000 students decide to try an experiment. - The first student, student …
  5. math

    1000 lockers 1000 students, the first student goes along and opens every other locker. The second student goes along and shuts every other locker beginning with the number 2. The third student changes the state of every 3rd locker …
  6. ALEGEBRA

    The new school has exactly 1000 students and 1000 lockers.On the first day all the students meet outside and agree on the following plan: the first student will enter the school and open all the lockers.The second student will then …
  7. algebra

    the new school has exactly 1000 lockers and 1000 students. on the first day of school, the students meet outside the building and agree on the following plan: the first student will enter the school and open all of the lockers. the …
  8. algebra

    the new school has exactly 1000 lockers and 1000 students. on the first day of school, the students meet outside the building and agree on the following plan: the first student will enter the school and open all of the lockers. the …
  9. Math

    Reasoning Word Problem: A school's lockers are numbered 1-100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the even-numbered lockers. The third student either …
  10. Math Word Problem(PLEASE HELP NOW)

    Reasoning Word Problem: A school's lockers are numbered 1-100. One hundred students enter the school one at a time. The first student opens the lockers. The second student closes the even-numbered lockers. The third student either …

More Similar Questions