Question 90
Let $x_1\ldots x_n$ be a finite sequence of real numbers such that:
i) The sum of any 7 consecutive terms is strictly positive.
ii) The sum of any 13 consecutive terms is strictly negative.
Which statement is true?
(A) The sequence has at most 18 terms.
(B) The sequence can have 19 terms.
(C) The sequence has exactly 21 terms.
(D) The sequence has at least 18 terms.
(E) There are arbitrarily long sequences satisfying i) and ii).
i) The sum of any 7 consecutive terms is strictly positive.
ii) The sum of any 13 consecutive terms is strictly negative.
Which statement is true?
(A) The sequence has at most 18 terms.
(B) The sequence can have 19 terms.
(C) The sequence has exactly 21 terms.
(D) The sequence has at least 18 terms.
(E) There are arbitrarily long sequences satisfying i) and ii).