So the sum of this infinite series, 1/2+1/4+1/8+1/16+1/32+...+(1/2)^n equals 1 right? If this is the case, would a football team score a touchdown eventually if the defense keep committing half-a-distance-to-the-goal-line penalties? Theoretically, the team should be able to, right? I would like to know what the rules are in football. (NFL, college)
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