On the 1st day the beanstalk increased its height by half, on the 2nd day by a third, on the 3rd day by a quarter, and so on. In how many days its height would reach 100 times its original height?
Explanations
198 days. Every day it increases its height by one half of its original height. In 198 days, it reproduced its height 99 times and was therefore 100 times its original height.