Problem 453. resistor ladder

You have a bunch (an odd number N) of identical resistors (each R ohms), a good battery (V volts), and a high impedance voltmeter.
Create a ladder as follows.
Connect negative terminal of the battery to ground.
Connect positive terminal of the battery to one resistor. Connect other end of this resistor to two resistors.
Connect other end of the second resistor to ground. Connect other end of the third resistor to two resistors and keep building similarly as long as possible.
Connect the last end of the last resistor to the voltmeter and measure the reading with reference to ground.
Please give the general solution. The test suite may change.