the "f" number on zoom nikon lens

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With the Nikon/Nikkor 18-55mm f/3.5-5.6 I understand that the more you zoom the higher the f number becomes and the slower the lens becomes. But on the Nikon/Nikkor 17-55mm f/2.8 does the f number stay the same no matter what the zoom?
 
Yes if there is only one f number (on any lens not only Nikkors) it is described as being a constant f2.8
 
Thanks Pete that is a great link and has answered the next half dozen questions I was going to ask in one go :D
 
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