Explain why you think the series n=1 converges to a finite number n+1 or diverges. If the series converges to a finite number, illustrate the problem

Q: Σ 00 (-1)"+1 n3 n=1 Approximate the sum of the series by using the first six terms. Show work before…

A: A series is given, we have to approximate the sum of the series by using the first six terms.

Q: What is the necessary condition for the convergence of the series, also give counter example to your…

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Q: 6. Tell whether the series whose nth term is given below converges absolutely, condition- ally, or…

A: Please post the multiple parts separately. Here I answered 1st question as per our policy.

Q: 9. Explain how you would use the alternating series test to show the following series is convergent.…

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Q: 2n2-1 7n +3n³ + 1 Determine whether the series converges or diverges.

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Q: Show that the series converges: Σ (-1)+1 3 n° +1 n=1 a. Find the 30th partial sum: $30. b. Find the…

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Q: 3. For the SERIES determine whether it converges or diverges. If it converges, find n=0 the sum.

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Q: 1. Say whether the series converges or diverges and explain why. 1 ( a) Ση-1 n2 -4n+5 Inn (b) En=1…

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Q: 4 Find the sum of the convergent series TI(n +2) Tm1

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Q: Is the given series 1 + 4 2 - 1 + 12

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Q: I know to find the sum in an infinite geometric series using S=1/1-r, that it converges if -1<r<1,…

A: An infinite geometric series converges for -1 &lt; r &lt; 1, for all other values of r, it diverges,…

Q: (b) Define what it means for a series of real numbers Ean n=1 to converge. Use the definition to…

A: The series ∑n=1∞an is said to be convergent if the sequence of the partial sum sn=∑k=1nak is…

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: 10) Show that the series is convergent. How many terms of the series d we need to add in order to…

A: Given: ∑n=1∞-1n-1ne-n

Q: 13.) The recursive sequence a =1+- with a, =1 converges to what number? an 1+ 5 (a) 1-5upse ira…

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Q: Please see image

A: Step 1: Step 2: Step 3: Step 4:

Q: Since the terms of the series do not approach 0, what can we conclude? O The series converges. O The…

A: Given query is to find the which statment is true.

Q: (-1)"-1 3n4 n=1

A: Given series, ∑n=1∞-1n-13n4 a) To find the convergence of the series.

Q: 12 n 12 n+ 3.64 2 n converges to The sequence an = Note: You may need to use the command.evalf() to…

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Q: Decide whether the series diverges. converges 00 or (-1) n+2 n= 0

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Q: How can you proof that this series is Converges?

A: We have a series ∑x=1∞cx2 We can use the integral test for convergence. It says that ∑x=1∞ax…

Q: Hello, I am currently stuck on this problem in the alternating series section of series and…

A: The problem involves analyzing an alternating series, given by the equation:[ \sum_{n=1}^{\infty}…

Q: Check the convergence of the series Σ tan

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