Spider Behind Which Door?

On a game show, there are 3 doors.  Behind one door is £1000 and behind another is a spider! Behind the other door is nothing.  Each door has a notice.  However, only one notice is true.

 Door 1 says: There is nothing behind door 3

Door 2 says: The spider is behind this door

  Door 3 says: There is a spider behind door 1

Behind which door is £1000?