That isn't correct. Rocket engines rely on liquid+solid fuel burning, while jet engines mix and burn a liquid fuel+air mixture. They don't have to have a compressor, just an intake and exhaust. A Pulse Jet engine doesn't have any fans, for example, it rather alternates between gas vacuum and compression while it burns the mixture.
@TypeProton, just do the sequence in what way you want. I can color it in photoshop if you draw it. Just give me some info on the color.