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In a series circuit, the total resistance is the sum of the resistance values of each individual resistor. When more resistors are added to the series circuit, their resistances add together, leading to an increase in the total resistance. This is because the current must pass through each resistor sequentially, which creates an overall opposition to the flow of current.

For example, if you have three resistors with resistances R1, R2, and R3, the total resistance (R_total) can be calculated using the equation:

R_total = R1 + R2 + R3

As each new resistor is connected in series, the total resistance will continue to climb. This behavior contrasts with parallel circuits, where adding more resistors decreases the total resistance due to multiple pathways for current. Thus, the correct interpretation of the behavior of resistance in a series circuit is that it increases as additional resistors are incorporated. Knowing this principle is vital for understanding how circuits function and for calculating circuit parameters in practice.