### Brain Teasers

# Half the Distance

You can imagine an arrow in flight, toward a target. For the arrow to reach the target, the arrow must first travel half of the overall distance from the starting point to the target. Next, the arrow must travel half of the remaining distance.

For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m.

If you extends this concept further, you can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target?

For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m.

If you extends this concept further, you can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target?

### Answer

Yes. This is because the sum of an infinite series can be a finite number. Thus, 1/2 + 1/4 + 1/8 + ... = 1 and the arrow hits the target.Hide Answer Show Answer

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