If you don’t know the way the series was generated any guess will be inductive. You might think that
1, 1/2,1/3,1/4,1/5…
Is the series 1/n but that’s just an inductive guess, and there’s nothing wrong with that, physical laws are inductive guesses too. Sure every time I’ve dropped something it’s fallen down (toward the center of the earth), that doesn’t mean it will next time, but that didn’t stop Newton from formulating the universal theory of gravitation.