Determine whether the series nl-3n converges or diverges. Show all your work. 42n

Q: (#4) Determine if the following converges or diverges. If it converges then find the sum of the…

A: The given series converges. Use the geometric series test for the given series. Find the first term…

Q: 18 (b) (6n-1)(6n+5) n=D1

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Q: 3rd (b) E 22m+7

A: According to the given information, it is required to check whether the series is convergent or not.…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The…

A: Let us consider an alternating  series ∑n=1∞(-1)nan The series is convergent if,  limn→∞an=0 an is…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"…

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Q: Determine whether the series converges or diverges. If it converges, find its sum. (-3)2n 10n+1 n=1

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Determine whether the series converges or diverges. Š (-6)" n3 n = 1 8

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Q: 2 ne-n?

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Q: Determine whether the series is convergent or divergent. You must state what test you are using.…

A: Convergent Series: a series is said to be convergent if the series sum is finite. Divergent Series:…

Q: +00 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=1

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Q: (2n)! 5n+1(n!)2 n=1

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Q: determine whether the series is conditionally convergent, abs. convergent or divergent E n=1…

A: Solution:- Check convergence of series

Q: 3" +2" 6" n=D1

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Q: (-1)" n+ 100

A: We need to find the sum is tending to.

Q: Usc the Raho Testh to detcrmine whether the series is convergen or diveraent n 100

A: In order to apply the ratio test, we calculate the ratio, R as shown on the white board, where Tn is…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: We will apply the ratio test to figure out if the series is convergent or not. Let's take the ratio…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: Given series

Q: 4n – n - Determine whether the series converges or diverges. n² + 3" n=1

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Q: Determine whether the series converges or diverges.

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Q: Determine whether the series converges or diverges. n+5 Σ n = 11 (n + -6)5

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (If the…

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Q: Determine whether the series converges or diverges. 00

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: Determine whether the series converges or diverges. Show the work and identify the test you used.…

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Q: 25 125 2+ 2 8 32 +

A: -2+52-258+12532-........ It is a geometric series with, First term=a=-2Common ratio=r=52-2=-54 Now,…

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. 00 5" + 7"…

A: see 2nd and 3rd step.

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Use the root test to determine if the series converges or diverges. n- n=1 7 n

A: Given: ∑n=1∞1n2-1n7n   Root test for series: For Series ∑n=0∞an suppose limn→∞(an)1n=L then 1)Series…

Q: Determine whether this series is convergent or divergent by first expressing it as a telescoping…

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Q: Determine whether the series converges or diverges. 00 n + 4 Σ n10 3 n = 1

A: Explanation of the answer is as follows

Q: 00 Σ 9 1 + 1/n in n = 4

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Q: Determine whether the series is convergent or divergent. k? k2 - 4k + 6 k = 1 convergent O divergent…

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Q: Determine if the series converges. If it converges, find the sum: To 3n-1+2 2n=1 5n

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Q: Determine whether the series converges absolutely or conditionally, or diverges.

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Q: n- Σ п? + 2-п n=1

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Q: n! 11. У. (n3"

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Q: Determine whether the series (-1)" (In(n + 1))" converge or diverge? O A. Divergent O B. Convergent

A: The given alternating series is: ∑n=2∞ (-1)nln(n+1)n Therefore: an=(-1)nln(n+1)nAnd bn=1ln(n+1)n

Q: Determine whether the series converges or diverges. 7n? – 1 Σ - 4n5 n = 9 + 9 converges diverges 8

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Q: (Зп)! 33п п! (п + 1)! (п + 3)! n=1

A: We determine whether the series diverges or converges.

Q: 5 Determine if is a p-series or not. If so, determine if the series converges or 19 n 6 n=1…

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Q: 2 -l n² -1 5.

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

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Q: Determine whether the series is convergent or divergent. If it converges, find its sum. E , 3"+12-2n

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

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