The Locker Problem It's summer time, and three different students from a school decide to play a prank on the school. They convince the school janitor to let them into the empty school and to hand over the keys to all the lockers. The students think it will be really funny if they go in and open some lockers according to a pattern only they know, confusing the school principal when they show up to woThe pattern is as follows:

1. The first student goes into the school and opens every single locker. They leave the school with every locker being open.

2. The next student goes into the school and changes every second locker. That means they skip Locker #1, close Locker #2 (because it was open), skip Locker #3, close Locker #4, and so on.

3. The third student goes into the school and changes every third locker. That means they skip Lockers #1 (still open) and #2 (closes it again), close Locker #3, skip Locker #4, and so on.

4. The first student goes back into the school and changes every fourth locker. Then another goes in and changes every fifth, and so on. They continue this pattern until they've done it 100 times total.

Problem Statement: If the school has 100 lockers, which ones will be left open and which ones will be left closed? Use any of our problem solving strategies we learn throughout this class. plesss help