Why does the right turn signal just light up and not blink on an 89 Chevy Cavalier?

Hey Jesse===Either the front or rear bulb is burned out. Turn the signal light on and change the bulb that is not lit. GoodluckJoe ^^Probably not the problem.^^ I just fixed this same problem in my '85 Cavie today. When an individual bulb burns out the remaining blinker on that side of the car will flash very fast. This is because the blinker relay wants to flash a set number of times per minute. When one bulb burns out the remaining bulb will flash twice as fast to make up for the bulb that is no longer flashing. Now to solve the problem...Remember the blinker relay mentioned earlier. That is where your problem lies. The relay is burnt out and doesn't want to function properly(I'm assuming, if you have the same problem as me, it will blink about twice per minute). So go to the auto parts store and buy a blinker relay(usually under $10 & very easy to replace). Usually a round, or possibly square part about an inch across with two electrical prongs sticking out one side. Then look in your owner's manual for a diagram showing you where it is(It's under the dash in my car. May be different in an '89). Pop the old one out, the new one in, & test blinkers. Should be as simple as that.