Telephoto lens for nikon D3200
I would like some advice about the best telephoto lens for a nikon D3200. I currently own the 18-55mm kit lens and a 50mm prime angle lens. I have a budget of about £500, I am new to photography and will be shooting mostly city scenes, some sports and landscapes. I have been trying to choose a lens but seem to find contradictory advice about what to buy. Any advice would be greatly appreciated.