I just bought a 1988 RX7 fc contvertible with 100K miles this weekend. The owner had it garaged for the last several years. I have been driving it quite a bit over the last few days and it runs great.
Twice now I have gone to start it immediately after turning it off and it is completely dead. I was able to jump it on both occasions. After the first time it started again next morning. Most recently, it happened last night. I was able to jump it and drove it around for 5-10 minutes. But this morning it is dead again. The owner, who really took great care of this car, said that the battery was changed a year, or so ago. All of the battery connections are tight. I don't have any experience working on cars and am not sure how to proceed. Does it sound like a battery problem? Should I remove the battery and have it checked, or does the problem lie somewhere else? Thanks

 

When you say "completely dead", do you mean key on, and there's no lights, no starter, nothing?

If so, start with removing the battery and taking it to a local car parts store. They will test your battery for free.
Check all the terminals for any signs of corrosion. Check to make sure the wire-to-terminal connection doesn't look loose or corroded.

 

Yep, nothing.
I will check the battery. Thank you

 

welcome to the board.

also check the under-hood fuses, and the connection for the heagtive terminal at the chassis (driver's frame rail) and engine (the starter bolt that goes through the engine, down by the rear oil line).