There is little hope for the books to be finished, at least before the TV shows. That would be hilarious, book 7 "Based on the hit TV show". Anyway, I believe there is only 3 books as it is. My gf and I often joke that George RR Martin found the unpublished first three books and then tried to write the rest on his own, they certainly feel like they were written by two different people.
Probably make the last book into a movie (trilogy). It's pretty worrying though that there's only one book worth of story left for a lot of the major characters. Dude needs to at least get that 6th book out within the next three years.