What?I'd have to say that it is recessive as there has been a huge gap where the trait has not been present, it is definitely not dominant as it has only appeared three times and the chances of it being sex linked is relatively low as only 1/7 of the males born have the trait and they have a 50% chance of getting it.
It's not sex-linked because as both males and females can be affected, then it must be on the X chromosome. Then if you look at the female in generation IV, for the affected characteristic to be sex-linked, her father must also be affected since the characteristic occurs on the X chromosome and her mother must be either a carrier or an affected individual. Neither her parents are affected, therefore the characteristic cannot be sex-linked.