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?