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If R1 is doubled, only the current will decrease while the voltage drop across the source (and across all 3 resistors together) will remain unchanged.
Acording to Ohm‘s law the voltage drop across a resistor for a given current is proportial to its resistance.
At the starting position the voltage drop across R1 is 1/3 of the total. After doubling R1 its resistance is equal to the sum of the other 2 resistors. The voltage drop is therefore 1/2 of the total.
An increase from 1/3 to 1/2 is less than doubling.

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