Best answer by Echo Drone
SoundCloud Weekly is an algorithmically-based playlist that looks at the music users have listened to and interacted with through likes, reposts and shares, then makes recommendations on what they may like to hear next. There is no certain way to get your music in it, because it's different for each user. And, chances are if you've uploaded any music to SoundCloud, it's definitely been in someone's SoundCloud Weekly playlist.
Hopefully this helps!