Approximate The Sum Of The Series By Using The First Six Terms 1 N Step 1 Nad To Test Whether The Senes Is Converge 1 (17.72 KiB) Viewed 40 times
Approximate The Sum Of The Series By Using The First Six Terms 1 N Step 1 Nad To Test Whether The Senes Is Converge 2 (20.23 KiB) Viewed 40 times
Approximate the sum of the series by using the first six terms (-1)"> n Step 1 nad To test whether the senes is convergent or divergent, use the alternating series test, which states that, a series m0 and 15a, for all in. *** Here for all n... decreasing, and Im Me Therefore, the series converges converges by the alternating series test Stap 4 Find the sum of the first six term convergent Step 3 Recall the theorem of attemating series remainder, which states that of a convergent starting series satisfies the condition at the of the remainder R involved in approximating the numby less than to the first neglected that - 50|-|*|***
Step 4 Find the sum of the first six terms. 3-0 7 01 7(-1)^ n 2.5667✔ 11 Step 5 To approximate the sum S, find the remainder for the sum S |RO| -15-5₁ | 50₁ 4 2.5667 (rounded to four decimal places) 31 + (rounded to five decimal places) Submit Skip frou cannot come back) 7 41 7 St
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