L.2 Move half distance of before

In order to go to a certain place 10 km from here, I'm going to move forward as follows : 
First time, I move 5 km. 
Second time I move 2.5 km of the half of 5 km. 
Third time I move 1.25 km of half of 2.5 km. -------- 
When I move forward like above, how many times does it it take to reach the goal ?




Answer
Can not reach

Solution
In case of the method of this progress, there certainly remain the half distance from the place where I finish walking along to the goal. 
Therefore I can not reach there.