A rope is 99 meters long, use half of it, then use the remaining 1 / 3, and then use the remaining 1 / 4. And so on, until the remaining 1 / 99 is used, how many meters are left in the end?

A rope is 99 meters long, use half of it, then use the remaining 1 / 3, and then use the remaining 1 / 4. And so on, until the remaining 1 / 99 is used, how many meters are left in the end?

99×(1-1/2)×(1-1/3)×(1-1/4)×…… ×(1-1/99)
=99×1/2×2/3×3/4×…… ×98/99
=99×1/99
= 1 (m)