Question

cue math
There are a 100 lockers arranged in a row, all of
which are initially closed:
A
A boy who loves math plays a strange game.
He goes from A to B, opening every locker.
Then, he goes from A to B again, closing every
second locker.
Then, he goes from A to B again, changing the
state (open to close or close to open) of every
third locker
and so on
He does this a total of a hundred times.
At the end, which lockers will be open?
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Answer 1

Answer:

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 89 , 100

Step-by-step explanation:

Either by looking at a pattern with the opened and closed lockers…open, 2

closed, open, 4 closed, open, 6 closed, open, 8 closed, open….

Noticing that the lockers opened are perfect squares