the infinite series sum to a finite answer

Now you can see why we choose this particular way of cutting up the square.We've obtained the same infinite series as we had for the time of Zeno's journey.As we construct more and more blue pieces,to use the math jargon,as we take the limit as n tends to infinity,the entire square becomes covered with blue.But the area of the square is just one unit,and so the infinite sum must equal one.Going back to Zeno's journey,we can now see how how the paradox is resolved.Not only does the infinite series sum to a finite answer,but that finite answer is the same one that common sense tells us is true.Zeno's journey takes one hour.