Can the sum of an infinite series be a finite number?

Yes, the same question used to bother me as well, but the following example might make you feel more comfortable with it.

Mark the start line and the finish line 2 m apart, then take each step 1/2 of your remaining distance from the finish line; for example, your first step is 1 m, your second step is 1/2 m, your third step is 1/4 m, and so on. If you keep going forever, the total distance you will travel can be expressed as the geometric series below. For more calculation, click here to learn more.