1. Determine whether the series is convergent or divergent. You must state what test you are using. n²e-n³ un=1

Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

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Q: E(-1)" 2'/n n=1

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. n! 94n n = 1

A: Given series is

Q: Q1) Which of the series converge, and which diverge? Give reasons for your answers. In(n²) 1) En=2…

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Q: 2. Use the divergence test to determine whether the following series converges or state that it…

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Q: Determine whether the series converges, and if so find its sum. 1 2 9k? + 3k – 2

A: Given series is ∑k=1∞19k2+3k-2 To test the convergence and evaluate its sum

Q: Which of the following geometric series is convergent? 1* Σ o 2-0 3 7 =0 3k 7* k =0 3k 7* 00 =0 3

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Q: b) Is the series is convergent n2 + Vn2 + 33n + 10 n=1 or divergent? justify your answers.

A: Limit Comparison Test : Suppose we have two positive term series ∑ an and ∑bn .And suppose that  L=…

Q: Which one is a conditionally convergent series? None of the given options is correct Ο Σ (-1)" n3 Σ…

A: We have find out from the given option which one is a conditionally convergent series.

Q: Decide, whether the following series are convergent or not: c) (2k + 1)! k=1

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Q: M8 Determine whether the following series are convergent o o) ntan ). e) E 12+ 23+32+.... n2"

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Q: Q2/ Which of the following series is convergent?

A: We have to check whether the given series is convergent or divergent.…

Q: e an appropriate test to determine if the series Lnt en 2" converges or diverges. n=1

A: Convergence of the series

Q: Determine if the given series is convergent or divergent. 3" en – 2" n=1 2.

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Q: O Determine whether the given Series So. (-1) I is absolutely Convergent or conditionally Convergent

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Q: -n? the root test fails to determine if the series 2 (1+ –) converges or diverges Select one: O True…

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Q: Ind the Fadlus of convergence of the power series. (If you need to use ∞ or -o, enter INFINITY or…

A: Given query is to find radius of convergence.

Q: 17. Use the Root test to determine whether the series converges or diverges 2n=1 - 5 4n + 3\n

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Q: Use the test of your choice to determine whether the following series converge.

A: The given series is ∑k=1∞2kek-1  Applying Ratio Test to the above series.…

Q: Determine (with detailed reasons) whether each series is convergent or divergent: 1 (a) n(In n)2 n=2

A: Given that ,              series, ∑n=2∞ 1n(ln n)2            find convergent or divergent

Q: Use the test of your choice to determine whether the following series converge.

A: Ratio test: For the series ∑ak, limk→∞ak+1ak=L If L > 1, series is divergent. If L < 1, series…

Q: Σ n" n! n=1

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Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: 9. Use the alternating series test to determine whether >(-1)"ne -n e converges or diverges. n=1

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Q: Σ 2n n + 2 h = 1

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Q: (n + 2)! nn n=1

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

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Q: Identify if the following series is convergent or divergent: 00 (-1)"3n² 4n2–1 n=1

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Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

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Q: 00 n* In n b) Is the series > is absolutely convergent or divergent? justify n8 – 2

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Q: 8. Determine whether each of the following series converges or diverges. Clearly state which tests…

A: Given that

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A: This question is related to sequence and series, we will solve it using ratio test.

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +o0 ,In n…

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Q: 3. Investigate and decide whether the following series are convergent: 3n+1n2 Σ n + 3 Σ' 67 3n2

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: Q2/ A) Determine if the following series is convergent or divergent 2n En=1 3n n! n! En=1 (2n) 00

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Q: 2 į (1+4)' 25. n n = 1

A: Given series ∑n=1∞1+1nn2 The objective is to determine whether the series is convergent or divergent…

Q: 1. Determine if the following series converges or diverges? Σ (e") (n – 2)! n=3

A: here i use ratio test for series

Q: 5n2 n=17n³ – 2n

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Q: Find the sum of the convergent series. 00 E on? + 3n - 2 n = 1

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Q: 6 Use the Ratio Test to determine whether the following series converges. (a) (b)

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Q: 15. Determine which of the following alternating series converge and which diverge. Justify your…

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Q: 2. Determine (with detailed reasons) whether each series is convergent or divergent: 1 (a) n=2 n(In…

A: a) divergent b) divergent

Q: E(-1)" (Зп — 1)! 5"(n!) n=1

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Q: Does the series 2(: - ) n=1 \N converge or diverge? Justify your answer.

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Q: I. Determine whether the infinite series is convergent or divergent. 7. E(-1)" 1+00 n2 8. Σ(-1)" "…

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Q: Jse the Root Test to determine whether the series converges. 1 Σ In (k+5) k=1

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Q: 4. Determine whether each series is convergent or divergent. State clearly which test you use,…

A: a) we have to use p test  ∑n=1∞1np is convergent if p >1 b) we have to use geomitric test…

Q: e8/n Σ 7 = 1

A: Given query is to find series converges or diverges.

Q: 1+ 4" 1+ 3" n=1

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Q: Decide, whether the following series are convergent or not: ik? + k 3 +i 2k+1 a) b) 2i (2k + 1)! IM:

A: As per our guidelines, we can solve first question for you. For other please resubmit them.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.