What happens to the resistance when more resistors are added in series?

When more resistors are added in series, the overall resistance increases. This occurs because in a series circuit, the current has only one path to follow, and each resistor adds to the total opposition to the flow of electric current. The resistance of the entire circuit is the sum of the individual resistances of each resistor.

Mathematically, if you have two resistors with resistances R1 and R2, the total resistance (R_total) in series can be calculated as R_total = R1 + R2. This additive property means that as you continue to add more resistors in series, the total resistance continues to grow.

In contrast, if resistors were added in parallel, the total resistance would decrease, but since the question specifies series, the correct understanding of how series circuits operate leads us to the conclusion that the resistance indeed increases with more resistors added in series.