here are 12 jurors sitting in a circle. A crazed gunman comes in but has only 11 bullets. He shoots a juror, then skips a living juror. He continues this process until only 1 juror remains alive. Which juror remains alive? Consider the same scenario with 1050 jurors and 1049 bullets.    How would you solve this using algebra only?

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There are 12 jurors sitting in a circle. A crazed gunman comes in but has only 11 bullets. He shoots a juror, then skips a living juror. He continues this process until only 1 juror remains alive. Which juror remains alive?

Consider the same scenario with 1050 jurors and 1049 bullets. 

 

How would you solve this using algebra only?

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