In saying that something doesn't exist, is it unusual to use the ga particle (が) and a negative verb? For example, would "(Uchi ni) Terebi ga arimasen" be an unusual way to say "There isn't a TV (at my house)"?
The reason I'm wondering is that lesson 8 of Japanese For Busy People, which introduces the ga particle and the existence of people and things, teaches "place ni noun ga arimasu/imasu" to say "The object exists at this location!". (If you were talking about a noun whose existance was already known, and you were just providing additional information, it currently suggests using "wa" and "desu" - eg "terebi wa ookii desu" - "the television is big")
Also, at the start of chapter 9, it teaches "place ni noun ga arimasu ka", and tells you how to do the positive answer "Hai, noun ga arimasu".
However, it doesn't teach "noun ga arimasen/imasen" to say "The object doesn't exist!". The only time it mentions the negative form is with "Nani mo arimasen" and "Dare mo imasen", which is to say that nothing or no-one exists at a specific location.
Since it doesn't teach "noun ga arimasen/imasen", I'm wondering if it's because that's not grammatically correct.