According to the terms of partial amnesty, a jailer made n passes along a row of n cells., originally locked as follows. In the first pass, he turned every lock (i.e. he opened them all). In the second pass, he turned every other lock, beginning with cell 2. In the third pass, he turned every third lock, beginning with cell 3. This continues so that in the kth pass, he turned kth lock, beginning with cell k. After n passes, which cells remain unlocked?

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.CT: Chapter Test
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According to the terms of partial amnesty, a jailer made n passes along a row of n cells.,
originally locked as follows. In the first pass, he turned every lock (i.e. he opened them all). In
the second pass, he turned every other lock, beginning with cell 2. In the third pass, he turned
every third lock, beginning with cell 3. This continues so that in the kth pass, he turned kth
lock, beginning with cell k. After n passes, which cells remain unlocked?
Transcribed Image Text:According to the terms of partial amnesty, a jailer made n passes along a row of n cells., originally locked as follows. In the first pass, he turned every lock (i.e. he opened them all). In the second pass, he turned every other lock, beginning with cell 2. In the third pass, he turned every third lock, beginning with cell 3. This continues so that in the kth pass, he turned kth lock, beginning with cell k. After n passes, which cells remain unlocked?
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