1. Handley High School has exactly 1000 lockers and exactly 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 the lockers. The second student will enter the school and close every locker with an even number (2, 4, 6, 8, ...). The third student will then reverse every third locker. That is, if the locker is open, she will close it; if the locker is closed, she will open it. The fourth student will then reverse every fourth locker, and so on until all 1,000 students have entered the building and reversed the proper lockers. Which lockers will finally remain open?

1. Handley High School has exactly 1000 lockers and exactly 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 the lockers. The second student will enter the school and close every locker with an even number (2, 4, 6, 8, ...). The third student will then reverse every third locker. That is, if the locker is open, she will close it; if the locker is closed, she will open it. The fourth student will then reverse every fourth locker, and so on until all 1,000 students have entered the building and reversed the proper lockers. Which lockers will finally remain open?

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Description: 1. Handley High School has exactly 1000 lockers andexactly 1000 students.On the first day of school, the students meetoutside the building and agree on the following plan:The first student will enter the school andthe lockers.оpenallThe second stude

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

1. Handley High School has exactly 1000 lockers and
exactly 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
the lockers.
оpen
all
The second student will enter the school and close
every locker with an even number (2, 4, 6, 8, ...).
The third student will then reverse every third
locker. That is, if the locker is open, she will close it;
if the locker is closed, she will open it.
The fourth student will then reverse every fourth
locker, and so on until all 1,000 students have
entered the building and reversed the proper
lockers.
Which lockers will finally remain open?

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