Let's take the example of carbon-14.After 5730 years, the activity of a particular sample would have reduced to half. After 11460 years, the activity would have reduced to 1/4th its value. And after 17190 years, the activity would have reduced to 1/8th it's original value. If this trend continued, won't the activity, at some point of time, reduce to 0? (I mean, won't it get so close to zero that we can scientifically assume it as zero?)
I ask this question, as my textbook says, "The activity of a radioactive isotope never reduces to zero.".
Always curious, Ramana