In episode #3 of the Tenchi MUYO series, Ayeka and Sasami are stranded on earthe without a space ship. Ryo-Oki makes his first apearance when Ryoko all of a sudden brings an egg into the room. It eventually hatches into a Cabit (Cat-Rabit, in other words, it is a cat and a rabit combined)named Ryo-Oki. Later on, when Tenchi is training with is grandfather, Ayeka is led by Ryo-Oki to Tenchi. Things get messed up here as Tenchi turns away from his training gets hit on the head by his grandfather, Ayeka gets startled, slips, and hurts her ankle. Tenchi comes to help her and his grandfather tells him to take her home. As they are heading home, it starts to rain and they stop in a shed. After the rain passes, before going home, Ayeka wants to visit Yosho's tree. There Ayeka asks Tenchi to hold on to the sword for a while. That ends the third episode of the Tenchi MUYO series.
What happens in episode #4 of the Tenchi MUYO series is the whole gang is going on a sort of vacation to a hot springs. Nothing much really does happen in this episode actually. Well, Ayeka and Ryoko get in a fight as they do throughout the entire Tenchi MUYO series. Ryoko forgets that Tenchi destroyed the gem on her right wrist, so she summons a demon to destroy Ayeka, but she can't control it so it goes on a rampage destroying the entire hot springs. Tenchi gets his sword out and tries to kill him and he pretty much does, and right after that Mihoshi makes her first apearance. This is pretty much the end of episode #4.