Check the convergence and find the sum of the series: 1 1 1 1 hint.: (2n – 1)(2n + 3) (2n – 1) (2n +3) 4 2n –1 2n+3 - - n=1

Q: (– 1)"64"+2 (2n+1)! Find the sum of the series: n=0

A: Given:Here an=(-1)n64n+2(2n+1)!To find:we have to find the sum of the series…

Q: (- 1)"9"-3 (2n + 1)! Find the sum of the series: | 0=u

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Q: If 2n +3 5n +8 then the series n = 1 is divergent Select one: O True O False

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Q: Suppose that Σ an = -3 and n=] ∞ A. Σ(-6an + −8bn) n=1 = B. (-6an +-8bn) n=2 = ∞ n=1 bn = -5 and a1…

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Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b)…

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: c. If the series has a sum, find the sum.

A: -12Explanation:If you have any questions let me know in comment box thankyou for your question.

Q: Find the first term of: E (-1)n+1 (z+1)" n=1 3D1 O (z+1)^2]/2 Z+1 -(z+1) no solution

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Q: n² Determine whether the series En 3n+1 ln(n+1) 2n=1 is convergent or divergent.

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Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his…

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Q: Consider the series 2 (2n – 1)(2n + 1) - n=1 2 What does it converge to? (Hint: Rewrite using…

A: Here we have, ∑n=1∞2(2n-1)(2n+1) Let an=2(2n-1)(2n+1)

Q: Find the sum of the following series. 2" (a) En=0 Ση-03 m 3n n! 32 33 (b) 1+5 34 +. 4+54 2.52 3+53

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Q: 1.7 Show that 1² +2²+ +n² -1 n(n +1) (2n + 1).

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Q: n=3 (−1)n+1 22n+1

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Suppose that n= =1 n=1 b₁ = 3, find the sum of the series: ∞ A. (-9an + (-9an B. n=1 an = 6 and bn =…

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(6x) over the interval 0 < x <…

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Q: Given a) find S,. (The nth partial sums) b) Determine if the series converges or diverges. Show how…

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Q: 4. The series n=0 1-5m² n *** (a) is Absolutely Convergent (b) is Conditionally Convergent, but not…

A: Solution:-

Q: n (n2 + 1)2 n=1

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Q: Suppose that an = 3 and 9 and a, = 6 and b 4, find the sum of the series: n=1 n=1 А. 7a, + 3b,) n=1…

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Q: 1.5 Show that the series (a – 6)(a – 26) „3 + (a- b)(a- 26)(a- 35) | z+- 2! 3! 4! converges…

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Q: (-1)* 72K+1 is 4*(2k)! The sum of the series E k=0 Select one: TT V2 TT O 2 O2/2 None

A: Solve by sum of series

Q: Consider the infinite geometric series Σ 1 -4 23 n-1

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