I was in a library and by opening at random a book about university tests I crashed against this page
This is meaningless, a finite set of numbers can't define a succession and this is a multiple choice test that doesn't ask to justify the choice: the student can answer peacefully randomly. For example in the question 3 the book say that only E is correct, but we can answer A, if we consider for example the sequence
or B, if we consider for example the sequence
or any other answer. The authors of the test implicitly consider the simplest law the only correct: is this way of proposing the thing acceptable? Am I too pedantic? I only contest the fact that this kind of question is not compatible with the closed form. It would be correct to reject a student who provocatively check all the answers? Please note this is not a question about mathematics (things are simple about that), it concerns the right, or maybe the duty, of a student to respond provocatively to a question he deems wrong. Would it be inappropriate?
Of course strictly speaking this is not a university book, this is a book thought to admission tests. Anyway the target are men and women who are preparing to enter the university, decidedly not kids. I add that if "quickly" is the point, I could think to:
This is simple, quick, correct, but it would be marked as wrong. I didn't know the Stack Exchange room about teaching mathematics, is it possible migrate the question there?