There are at least a couple more possible cause for a rapid cyclic rate.
1. A high resistance ["partial"] short circuit in the circuit for the turn signals. Some examples being a wire pinched in a crevice in the sheet metal resulting in damage to the wire insulation allwing a very miniscule contact between the wire and the grounded sheet metal, or corrosion build up in one or all of the bulb sockets.
2. If a replacement bulb was the incorrect bulb, having a heavier filiment than the proper bulb, it would draw more current, possibly a lot, as the change of flash rate is dependent on current value. The heavier the filiment, the greater the current draw, the greater the current draw, the greater the flash rate.
3. Oh, there is another, but you didn't mention it, so it may not apply. The more bulbs which are on the circuit drawing current, the faster the rate. A very good example is when towing a trailer with lights plugged into your vehicle's light system. The additional "load" created by the larger number of bulb filiments burning, can cause the flash rate to be incredibly fast. For this problem, a "heavy duty" flasher module is made, and sold at most auto parts stores.
your rear bulb is blown - replace the bulb The turn signal blinks fast because the bulb is going out. That is also why the others dont blink.
That's usually an indication of a burned out bulb.
The new bulb is already burned out, not seated properly in its socket, or you replaced the wrong one. Get out and look at the signal lights while they are blinking fast. Either the front or rear light is not blinking at all. That is the one that needs to be replaced.
often the blinker is made to blink faster when there is a bulb burned out
Change the front turn signal light bulb. It's bad.
You have a blown bulb either front or rear.
The signal flasher relay may be on its way out.
Look from the outside. Either the front or back bulb is burned out.
A. check and make sure all the bulbs are working. B. someone may have replaced the blinker itself with a aftermarket one that blinks at a diff rate.
Between each blink there is a space in time when the bulb is not lit. Turning signal lamps have to blink at a certain rate (at least in Britain or fail the MOT - Ministry of Transport - test certificate).
Check all of your blinker lights. There are two in each tail light, one in each center signal, and one at the corner of each headlight, a total of 8 lights should blink when you have the flashers on. If a bulb is burnt out, it will increase the blink rate. Also, installing LED's in the tail lights will cause the blink rate to increase.
If the lights blink fast on either side of the car then this means you either have non-factory bulbs in the car or you need to replace your blinkers because one of your lights is out.