Passenger rear blinker not working. Changed bulb, but no results. Blinker arrow on dash blinks very rapidly.

There should two separate bulbs for marker and blinker. It sounds like a bulb is burnt out, bad ground, melted socket or a wiring anomaly. Are you certain it's supposed to have 57 series dual element bulbs for blinker and markers?

If the dash signal is blinking fast and the back of car signal is NOT working, then the problem is the bulb in the back of the car. The one that is not blinking needs to be replaced. The bulb that's not blinking is burned out, and this changes the resistance of the blinker circuit causing the blinker to flash rapidly on the dash indicator. FIX: Replace the burned out bulb in the back of the vehicle.

Note - Sometimes this situation causes the blinker module on the fuse panel to permanently change to a rapid or even a non-blinking state. In this case you must also replace the blinker device itself, which is on the fuse panel and looks like a small cylinder (or cube) less than one inch in diameter.

you will need to inspect all of the left side blinker bulbs one of the bulbs that is supposed to blink is bad my buddy has a caviler that had the same problem one of the bulbs ended up being bad it was the rear drivers side bulb. there is also a flasher relay locater under the dash that tends to go bad just listen for the ticking and replace the flasher the flasher costs about 8 bucks at you autopart store ask for a flasher relay. i hope this helps.

REPLACE THE TURN SIGNAL BULB THAT DONT BLINK.MOST OF THE TIME IT IS THE ONE NEED REPLACING.

bad bulb on right side check and replace

Check to see if the grounding wire is still attached. The rapid blinking on the dash is an indicator of a bulb not functioning. You can have the power to the bulb and the bulb be ok, but if you don't have the circuit completed with a properly grounded wire from the bulb, you won't get a light... that sounds like what's happening.
Look in the area where the wires connect and check for a loose connection. It's usually attached to a screw in the local area of the socket...

the rapid blink is because there is a bulb outage some where, Pull Over turn on left Blinker Get out of your car look at the front left blinker hen walk to the rear of your car and look at the left rear Blinker light then do the same for the right side blinkers if all are working rapidly your left right switch is bad

replace the drivers front bulb. There are 2 different elements in the bulb 1 for park lights 1 for directional

It's the bulb. There are two filliments in the bulb. One is for when you turn your lights on and the other is for breaking and blinker flashing. When the break filliment goes bad it causes the blinker to flash very rapidly. 100% the bulb. Change it and all will be good again. P.S. if it were a fuse none of the break lights or blinkers would work.

Usually a fast turn signal means that there is a light out. You should probably check all of your lights, including back-up lights, and turn signals. If there is one out then replacing the burnt out bulb should fix the problem.