Which geometric series converges? 1 1 1 O 81+ 27 9 3 1 1 1. o 1+5++8+ 1-1 Σ 5(2)"-1

Q: Series (b) Determine whether ∞ n=1 ditionally, or diverges. (-1)^n¹/2+3 2n² - 1 converges…

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Q: What is the sum of the infinite series 4 2n 37 ()* 37 2 2 1 +...+ (-1)" + (2n+1)! •• ? 3! 5! 7! O -1…

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Q: Which series given below converge conditionally. (-1)" n=2 n²+1 (-1)" 2 Inn 1) E-2 00 II) E, (-1)"…

A: For details solution see the  answer below

Q: 3-27 Find the sum of the series 5n+1 n=D0 (A) 2 (B)- * (C) (D) 1 (E) O (A) O (B) O (C) O (D) O (E)

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Q: IM: Determine if the following series converge or diver 1. ΣΤ 2. E xn 2n+1 i=1 V3n+1 i=1 3. Σ (2л —…

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Q: 7-40 Determine whether the series converges or diverges. 00 38. Σ sin n=1 (1) n

A: 38. Given series is ∑n=1∞sin21n   To Determine: Whether the series converges or diverges.

Q: convergent serie 12) Find the sum of each 2 A) / + = + ( ² ) ² + ( ² ) ³ + ( ²1 ) 4 + ... ( - )^² +…

A: Let's find sum of given series.

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

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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: (-1)"n2n+1 n=0 32n-1(2n+ 1)! The sum of the series is 3 18 O 9/3 1 18 tan() 3 9 tan Click Save and…

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Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: Determine whether the series converges or diverges. 8 Σ sin() n=1

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Q: 8 2. If the series 4 5 16 32 +... converges, find its sum. Otherwise, say it diverges. 25 125 (A)…

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Q: 5+ * + (x+3) (x+3)2 (x+3)³ 2 20 200 10 find the value of x if the given series converges to 3

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Q: cn? Let c be a nonzero real number and an = Which one 21n2 – 3n + 7 of the following statements is…

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Q: Question 11 n+1 Consider the series >(-1)"+'an, where an > - for all n and the sequence {a,n}…

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Q: Find the interval of convergence for the power series =1 (x-1)" 7"n

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Q: The sum of the series (-1)" (37)2n+1 - is 22n+1 (2n + 1)! n=1

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Q: 00 16n+3 E(-1)"-1. n²+3 n – | n=1 a) Determine whether or not the series is absolutely convergent.…

A: This is a problem related to series and sum calculation. Based on the general formula and concepts…

Q: 3 5 7 9 4'9' 16' 25 (G) The general term of the sequence starting by n=1 is 2n+1 )+0 (i) l(n+1)².…

A: Since you have posted multiple question I am solving 1st 3 only

Q: Decide whether the given series are convergent or divergent. Show all your steps. (-4)3n a) 2n+1 n=1

A: Since you have asked multiple questions in single request.so we will be  answering only first…