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An annoyed teacher asked her student to do the following:

(1) Start with the number 12. Go to step (2).
(2) Take the negative of the number reached at the end of the previous step. Go to step (3).
(3) Add 1 to the number reached at the end of the previous step. Go to step (4).
(4) Go back to step (2) unless you have already gone through step (3) a hundred times; if you have gone through step (3) a hundred times already, tell the teacher the last number you reached.

To the teacher's surprise, the student gave her the correct final answer within a minute. What was it?

tertre  Apr 4, 2018
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I will assume that "taking the negative of a negative number = positive number". If this is what is meant, then going through step-3 100 times[even number of times], the number remains the original number, or 12 in this case. That is my take!.

Guest Apr 4, 2018

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