Right rear lighting assembly not working

Doesn't have a turn signal flasher , use's lighting control module .
Turn Signal and Hazard Lamps The turn signal system consists of:

• turn signal miniature bulbs (13465).
• turn signal indicators in the instrument cluster (10849).
• lighting control module.
• multi-function switch (13K359).
• circuit wiring and circuit protection.

Power is supplied to the lighting control module through instrument panel Fuse 6 (10A). This fuse is hot in START or RUN. The lighting control module is connected to the turn signal switch portion of the multi-function switch. Ground is provided to the lighting control module and the turn signal miniature bulbs through Circuit 57 (BK).
Turn signal functions are performed by double filament bulbs in lamp assemblies located next to the headlamps. The turn/hazard function uses the second filament of the appropriate bulb(s).

• With the multi-function switch in the right turn position, power is supplied to the RH front and rear turn signal miniature bulbs and the right turn indicator in the instrument cluster.
• With the multi-function switch in the left turn position, power is supplied to the LH front and rear turn signal miniature bulbs and the left turn indicator in the instrument cluster.

Sometimes the housing the bulb is in has gone bad try cleaning out the prongs where the bulb goes in it that does not work replace the fixture the bulb goes in had the some thing happen to my trailblazer hope this helps

You should check for a couple of problems:

1) Verify that the front and rear passenger turn signal light bulbs aren't burned out.

2) Check for a short circuit in the wires at the signal lights. This can happen if you have a leak around the light and moisture gets inside. A strong indicator that this is the problem is if the signal acts up right after a rain, but works fine after several days of dry weather.

Replace right rear tail light bulb holder. Bad ground.

I fixed it. I have had the same problem. The Right rear blinker would not flash. All the other lights did flash. It was intermittent at first, would stop working for a few days, then go a month without any problems. It finally stopped working at all, just the right rear indicator flash. I pulled off taillight assembly, pulled bulb and socket plugs... all looked good.. but it still did not work. Went to auto part store with assembly off and wires tucked in to the frame. Bought bulbs and replaced them.. it still did not work. THEN.... The clerk had me pull the Top socket out and put it in the bottom wire position . Presto!! it worked.. I put the bottom socket in to the top wire position and all is good. Why it worked?? do not know. However if it goes out again I will be buying new socket assemblies. Hope this info helps.

If the indicators on the dash are staying lit all the time, it is because you likely have a bad ground to one of your running lights, causing the running lights to ground through the turn signal circuits. This is often caused by either a bad socket assembly at one of the bulbs or an incorrect bulb is installed in one of the sockets. You need to check FRONT and REAR lights to see which one is not working correctly. Also check the running lights and marker lights on BOTH sides of the vehicle. There will be SOMETHING that will not look the same from one side to the other if the left side is working correctly and the right side is not. Please keep in mind that you cannot use the right REAR turn signal without also using the right FRONT turn signal. The problem could be at EITHER end.

You have a bad ground wire on the right rear.
if you need further info let me know.

check the socket the bulb goes into

the electronic flasher module may be faulty, or you could have blown a fuse