1. ## Confusing problem

I have the following problem on a math worksheet.
A lizard is 100 feet away from the tree he wanted to climb. At the end of the first minute he has traveled half of the distance to the tree. At the end of the second minute he has traveled half of the remaining distance. At the end of the third minute, he has traveled half of the remaining distance. How long will it take him to reach the tree if he continues this pattern of travel?

2. Well... at this rate... it will never reach the tree

It's like the equation of constant half life decay.

$x = \dfrac{1}{2^t}$

where x is the remaining distance and t is the time.

As t tends to infinity, x tends to zero, but never reaches 0.