First, use Rupture (R). They will attempt to run away until they realize that they lose health.
Second, use Blood Rite. They won't move because they will lose more from moving than from the Blood Rite. But the damage is just a small part. The main part is the silence. They can't use any abilities.
Third, ATTACK! They will fight back, but they will be silenced for a little, so if you have any idea how to right click, then you get an easy kill.
WARNINGS
Beware of enemies attacking you while you attack them. If your too focused on the one guy, then you can be easily ambushed.
But this combo basically guarantees a kill unless you have an extreme level disadvantage.
I hope that you will succeed in getting kill after kill with this combo!
A) The target in question doesn't have a TP scroll ( Bloodseeker has no way of disrupting the scroll's channeling unless he gets eul's, basher or something that lets him do it)
B) The target in question cannot get away without taking damage from Rupture, ergo, they don't have mobility skill that allow them to become invulnerable to damage like Time Walk or Ball Lightning, meaning your ult literally does zero damage and they can escape before the delay of Blood Rite ends.
C) The target has no way of fighting back while silenced. Sure, maybe you could get a pick off on a Lion or a Crystal Maiden this way but they can still just disable you before you can get your silence off.
D) Bloodseeker actually has enough right-click damage to get a kill, which he really doesn't. If you try using this combo on an actual right-clicker like a Wraith King, Troll Warlord or Lifestealer, you're going to have a bad time.
And finally, Dotabuff or it didn't happen; aka, have you actually pulled this off on a consistent basis? Was this a one game fluke or do you have 10-15 game sample size to show for this "combo" of yours?