In one aspect, a voltage is provided as a rectangular waveform in which the duty cycle is varied to provide different effective voltages. These voltages may be applied to various control lines in a memory device such as a word line, bit line and/or source line, in a program, verify, read or erase operation. In some cases, the duty cycle is a function of programming data of a memory cell such as an assigned data state or a programming speed category. The duty cycle could also be a function of a programming phase or other criterion. The duty cycle can be varied by modifying the duration and separation of the pulses of the waveform or by pulse counting, in which a specified number of pulses are passed in a time period.