(-1)k+1 You are given k=1 (a) Determine n so that s, = (-1)k+1 to within 10-4 of the actual sum of the series. (You may assume k=1 that this series converges by the Alternating Series Test.) (b)...


Could y'all help me out with this? I know we are supposed to find an inequality, solve the inequality, then use that to find s_n, then find the error, but I'm not sure where to start or what to do.


(-1)k+1<br>You are given<br>k=1<br>(a) Determine n so that s, =<br>(-1)k+1<br>to within 10-4 of the actual sum of the series. (You may assume<br>k=1<br>that this series converges by the Alternating Series Test.)<br>(b) Compute s, using the n you found in part (a). Round your answer to 8 decimal places.<br>3176<br>(c) You are told that the actual sum of the series is<br>30240<br>What is the actual error in this case? Give<br>your answer to 8 decimal places.<br>

Extracted text: (-1)k+1 You are given k=1 (a) Determine n so that s, = (-1)k+1 to within 10-4 of the actual sum of the series. (You may assume k=1 that this series converges by the Alternating Series Test.) (b) Compute s, using the n you found in part (a). Round your answer to 8 decimal places. 3176 (c) You are told that the actual sum of the series is 30240 What is the actual error in this case? Give your answer to 8 decimal places.

Jun 04, 2022
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