Here's an interesting way to play a I-IV-V chord progression. That's a first, fourth, fifth progression. We're not going to discuss any theory of what that chord progression is, rather we'll just focus on this exercise. Take a look at this music piece and give it a shot if you like.
Although the chords above the progression are essentially correct written as Major chords none of those chords contain a 5th. And that's great news for other musicians you play with because they can fill out those notes! But, all the chords are technically a 'no 5th' chord. If you are a guitarist use the chord shape shown here. You may have to build up some pinky strength if you're not used to this sort of thing. At the same time you'll need accurate picking technique. This is a movable shape. Check the diagram. You'll use this chord shape to play the progression properly which is why we have ignored the other strings as to open or closed (just don't play them).
If you're a piano or keyboard player the same theory obviously applies. All the chords are no 5th chords. Play this exercise with one hand only. Unless you have massive hands you'll have to bounce around a bit. Your biggest challenge will also be your pinky finger. You may even come up with some cool ideas for filling out those 5th notes with whichever hand is not playing the music lesson.
Ok, groove-cats, once you've got this down see what other chord progressions you can come up with using the same techniques. Enjoy.