Midterm Review - Multiple Choice
(i) [3 pts] Consider the sequence defined by a1 = 1, an = −an−1 , n ≥ 2. Which of
the following statements is true?
(A) The sequence diverges;
(B) The sequence converges and the limit is 0;
(C) The sequence converges and the limit is 1;
(D) The sequence converges and the limit is −1;
(E) The sequence converges and the limit is ±1;
(F) None of the above.
(i) [3 pts] Consider the sequence defined by a1 = 1, an = −an−1 , n ≥ 2. Which of
the following statements is true?
(A) The sequence diverges;
(B) The sequence converges and the limit is 0;
(C) The sequence converges and the limit is 1;
(D) The sequence converges and the limit is −1;
(E) The sequence converges and the limit is ±1;
(F) None of the above.