If the smallest rhythmic value is a quarter note, you don't need alternate picking at all!



Reminder
Use a metronome when practicing these examples. Start out slow and gradually increase your tempo. In addition, make sure you use the suggested fingering below the TABS.This is where the TRUE masters of alternate picking and speed guitar technique emerge! When a note is subtracted, you have to MISS the string and PRETEND to perform a picking motion. This resets your direction and maintains continuity throughout the phrase. DOWN where down should be, and UP where up should be.
The perfect way for us to learn this concept is with the galloping horsey riff, a la Metallica, in which the "e" -- the second sixteenth note out of every group of four sixteenth notes -- is removed. If you count sixteenth notes this way:
1 e & a 2 e & a 3 e & a 4 e & a...
...Then it is the e beats that we will remove and thereby MISS the stroke.