25. Choose the series that is convergent: ΑΣ A) 1+ n n+1 B ) Σ- 2 n n 4n n1 ο Σ7m 3 n n 2 D Σν+1 +4n 2 3P E ) Σ 5"+1

Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

Q: 10 Prove whether the series converges or diverges. cos(nn) a) E 2n-1 b) Σ c) E '(n!)² (2n)!

A: By ratio test and Lebinitz test we can give the answer for both questions.

Q: 3. Determine which of the following series converge: (a) ( d) Σ 50 + 2n n= n=1 n O n (e) n=1 (2n2 –…

A: Please note that according to guidelines only first 3subparts is solved.

Q: If n'h partial sum of the series i=| ak k31 is s, = ( 3n-1)2n %3D 3n then Li=1 ak =

A: The nth partial sum is Sn=3n-13n2n The  we have to find ∑k=1∞ak

Q: O Find the N-th partial sum SN = ), → n2-1 of the infinite series n² – 1' n=2 n=2 M8

A:

Q: 8. Find the sum of the series. n (a) (-2)” +3″ 4n ∞ n=1

A: Question No. 8(A):To determine the sum of the following series.

Q: Could I get help with parts A-D?

A: According to the given information it is required to check whether the given series is absolutely…

Q: 5. n(n+1) Find the sum of the series using the summation formulas. 1 k = 57 Σ(4k² - 12k - 50) Show…

A:

Q: (2) Σ n=1 (B) Σ n=1 (0) n=1 2√n +1 3n2 +1 (−1)" In(n) n? (-2)" η3 +1

A: Since you have posted a question with sub-parts greater than three. We will provide the solution…

Q: Determine if the series is converg

A: (a) Given, the infinite series             ∑n=1∞1+cosnen

Q: Which of the following infinite series converge? n(n +2) i) En=1 (n +3)³ * sin (ln n) ii) n=1 n…

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Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A:

Q: (-1)" 2) The series n=1 is п a) Convergent, but not absolute b) Converges absolutely c) Diverges

A: Answer and explanation is given below...

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

A:

Q: 23. Choose the series that converges: 2" b) Σ (n+1)! Θ ΣΙ2--] 3 Ο Σ 2 n-1 n=1 n-0 1 d) ο Σ n e) n=1…

A: a) Here, we find first few partial sum ,since lim sn as n approaches infinity does not exist.…

Q: Determine whether the series is convergent or divergent by using an appropriate test: cos(2n²+3)+2…

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Q: Which of the following is the power series representation of dr? (14z) O a. C+En 0 7n+1 O…

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Q: T2N-1 2. Let an The series E=1an is: e2n+1° 2=D1 A) Geometric series with r > 1. 2 an+1 B) Divergent…

A:

Q: 1) Cauchy Product For n € N, let and (-1)n an == bn == √n+1 n Cn == =Σan-k · bk. k=0 Show that the…

A:

Q: +∞ Σ η=1 η n' + 1

A:

Q: 3. Determine which of the fol 2" (a) n=1 n! (d 1 (b) (e n=1 2n 3n n+1 (c) (E 3n n=1

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Which of the given series are convergent. 00 (-4)3п а) 2n+1 n=1 2"n! b) 2 3^(2n)! (n + 2) n=1 2n3 -…

A: To find- if the series is convergent.

Q: State whether the give p-series converges. Σ 1) Series converges, p = e – n<1 2) Series diverges, p…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: (-1)* 6k +4 Consider the series k=1 a) Enter the p-series that can be used to determine whether the…

A:

Q: a) Is the series sin(n) Σ is – 7n + 1 n³ + 3n² n=1 absolutely convergent or divergent? justify your…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…