To add to the replies:
This is a classic sign of indicator relay failure. The relay is a black box, around 5cm x 2cm x 10cm with an electrical connector at one end. It lives down behind the cubby hold/ashtray area and can be a bit daunting for a new owner to get to.
The easiest and tool free way to do it is to open the ashtray and empty your cubby hole shelf of everything. Then, put your hands in the cubby hole, one palm face down and the other face up and grip as best you can to the velour in there. A quick and sharp tug should release the cubby hole and then you can get in to access the relay.
It's not easily seen but it clips down below the ashtray area - you'll probably have to do it by feel, but it's not too tricky when you know how and where it is.
Cheers,
Michael