Since I havent seen this side marker and turn signal light relationship addressed in the forum, I hope this saves someone some time and trouble.  Here's my latest learning experience with my 2000 Sunfire Vert (original owner - 140K miles):
Problem:  Rapid turn signal indicator on instrument cluster.  Turn signal arrow on steady with lights turned on.
Probable Cause:  Bulb burned out
Initial Exterior Examination:  Turn on lights  Left front side marker light ONLY LIGHT OUT (note:  side marker lights on 2000 Pontiac Sunfire GT Convertible blink with turn signal).  Left front parking light / turn signal light on steady.
Solution:  Replace side marker light bulb (194) 
 WRONG!!!  Problem still exists.
Troubleshoot with multi-tester 
 appears that ground to side marker light is bad.
Accidental Discovery:  Power on and try turn signal  side marker light flashes (YGBSM!).  Front left turn signal on steady 
 does not flash.  
REAL SOLUTION:  Replace front left turn signal bulb (3057).  (Note:  Need to remove the headlight to access the turn signal and fog light bulbs)
Lesson Learned:  Troubleshoot the problem (turn signal), not the part.  Add to Initial Exterior Examination  TURN ON EMERGENCY FLASHERS!