(a) What is an alternating series? An alternating series is a Correct: Your answer is correct. whose terms are Incorrect: Your answer is incorrect. . (b) Under what conditions does an alternating series converge? An alternating series [infinity] an n = 1 = [infinity] (−1)n − 1bn, n = 1 where bn = |an|, converges if 0 < bn + 1 ≤ bn for all n, and lim n → [infinity] bn = . (c) If these conditions are satisfied, what can you say about the remainder after n terms? The error involved in using the partial sum sn as an approximation to the total sum s is the Incorrect: Your answer is incorrect. Rn = s − sn and the size of the error is Correct: Your answer is correct. bn + 1.