The normal configuration these days is Black (or Brown) is neg, and the pin nearest the outside of the RX, Red is pos, and the centre pin, white (or orange, or yellow) is the signal, and most inboard.
This arrangement has the advantage that if plugged in in reverse, nothing at all should happen, as the red pos is in the right place, the neg is connected to an RX output that is probably incapable of providing any power, and the signal wire is grounded, but cant do anything because it needs a pulsing signal, and isnt getting one.
Is it just giving one sweep, or is it cycling backwards and forwards? A single sweep is a sign that the position sensing pot or its associated circuit is broken and the servo is trying to drive to a position that it cant get to to agree with the position of the stick on the TX - cycling would be a new one for me.