According to Kirchhoff's loop rule, the voltage around any closed loop in a circuit must sum to zero. This means that the total voltage provided by the battery will be equal to the sum of the voltages across each component in the loop, which in this case are the resistors.
Therefore, the correct answer is:
A. The voltage across the battery will be equal to the sum of the voltages across each resistor.
This reflects the principle that the total energy supplied by the battery is used up by the resistors in the circuit.