Guys I'm sorry I didn't mention you should consider your steps' speed and length, otherwise it wouldn't be too hard to assume you'd eventually get there. So Pv2 is right about that, having your speed decreased repeatedly but never reaching zero wouldn't stop you from reaching the goal.

So here's what blows my mind:

At each and every step you take, the average length and speed of your step is halved.

Noting that you can't reach zero by halving something.


Which proposes the point that, it might be possible not to reach a point even if you keep moving towards it. And I call that a paradox.



Also guys, don't consider a specific body type, walking speed or average step length for the person in question. The less specific you are when dealing with hypotheses like this, the better.