For 2-4 determine if the series converges or diverges. If it converges find its value. n²+n+1 2. Σn=1 (n+5)(3-5n) 2 3. Σ. 4 4. Σ n=0 4n+555-n n²-4n+3 3

Q: For the following series, apply either the Geometric or p-Series Tests, where appropriate. 15 (2) Σ…

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A: The solution of the problem as follows

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Q: 6. Tell whether the series whose nth term is given below converges absolutely, condition- ally, or…

A: Please post the multiple parts separately. Here I answered 1st question as per our policy.

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A: Given: ∑k=1∞1k(k+1)(k+2)

Q: 4 3. Let S = E(-1)n+11 and let S4 = E(-1)n+11. Then S4 < S since the next term in the series is…

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Q: n - 4 Sn The nth partial sum of the series 2n = 1 an is given by n + 5. Select the correct rule for…

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Q: (-1)* 3k 6k3+1 14. Determine how many terms of the convergent series k=1 the remainder is less than…

A: Consider the given convergent series, ∑k=1∞-1k3k6k3+1 so, ak=3k6k3+1 Here we have given that…

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Q: 71.Š-1)"(nº + 1) en (-1)"(п3 + 1) 2. п4 + 1 (-1)"(п3 + 1) 3. 00 –1)" п3 +7

A: According to our guidelines, I solve first 3 subparts. Kindly request you to post the remaining…

Q: infty 26. E n² – 1 n=2

A: Telescoping series is a series where all terms cancel out except for the first and the last term.

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Q: 4. Determine whether the alternating series n+ 4 E(-1)"+1 (n +1) (n + 2) n=1 converges or diverges.

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Q: (-1)"2"+1 is The sum of the series 5.9n n=1 -4 (a) 1+ (b) 5 1+ -2 (c) 5 1 -2 (d) 5 1+ -4 (e) 45 (f)…

A: Find the value of series.