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2. Consider the sequence {2(-1)"}=1 (a) List the first 4 terms. (b) Compute for the partial...
show all work | 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing...
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| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
1 2 3 n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b)...
2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b) Provide a sketch for the first five terms of the sequence. Does the sequence approach a number? c) Does the sequence Converge or Diverge as no? Explain your answer. d) Find lim,--..(am + b), where a, the general term you found in a) and m2+1 Does the limit converge?
3. Consider the sequence {u}?, = {1,- - 1 1 - 1 2 '3' 4'5' 6...
3. Consider the sequence {u}?, = {1,- - 1 1 - 1 2 '3' 4'5' 6 Select the true statement: A The sequence {ak} and the series as both diverge. B The sequence {ak} converges, but the series as diverges. c The sequence {ax} diverges, but the series ak converges. D The sequence {ak} and the series ak both converge. E None of the above.
3. Consider the sequence {ak} = 1 = 1. -1 1 -1 1 -1 2 5...
3. Consider the sequence {ak} = 1 = 1. -1 1 -1 1 -1 2 5 6 Select co ܠܛ the true statement: A The sequence {ak} and the series Ļak both diverge. B. The sequence {ak} converges, but the series [ak diverges. c| The sequence {ak} diverges, but the series [ak converges. D| The sequence {ak} and the series ak both converge. E None of the above.
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ...
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
Consider the series a. List the nth term, Sn, of the sequence of partial sums for...
Consider the series
a. List the nth term, Sn, of the sequence of partial
sums for this series.
b. What does the series converge to?
Can u please explain the steps? thanks SO much! There are three different parts. 4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation notation is &#...
Can u please explain the steps? thanks SO much! There are
three different parts.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation notation is "n 1". a. Write the first four terms of the series b. Does the series diverge or converge? c. If the series has a sum, find the sum.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation...
Consider the series (n=1 and infinite) ∑(−1)^(n+1) (x−3)^n / [(5^n)(n^p)], where p is a constant and...
Consider the series (n=1 and infinite) ∑(−1)^(n+1) (x−3)^n / [(5^n)(n^p)], where p is a constant and p > 0. a) For p=3 and x=8, does the series converge absolutely, converge conditionally, or diverge? Explain your reasoning. b) For p=1 and x=8, does the series converge absolutely, converge conditionally, or diverge? Explain your reasoning. c) When x=−2, for what values of p does the series converge? Explain your reasoning. (d) When p=1 and x=3.1, the series converges to a value SS....
problem 1and 2 Problem 1 [3 marks] Assume that the nth term in the sequence of...
problem 1and 2
Problem 1 [3 marks] Assume that the nth term in the sequence of partial sums for the series ,, is given below. Determine if the series is convergent or divergent. If the series is convergent determine the value of the series. a) Sn = 2-72 b) SEP Problem 2 [2 marks] Does the series (-1)" cos converge absolutely, or diverge?
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| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b) Provide a sketch for the first five terms of the sequence. Does the sequence approach a number? c) Does the sequence Converge or Diverge as no? Explain your answer. d) Find lim,--..(am + b), where a, the general term you found in a) and m2+1 Does the limit converge?
3. Consider the sequence {u}?, = {1,- - 1 1 - 1 2 '3' 4'5' 6 Select the true statement: A The sequence {ak} and the series as both diverge. B The sequence {ak} converges, but the series as diverges. c The sequence {ax} diverges, but the series ak converges. D The sequence {ak} and the series ak both converge. E None of the above.
3. Consider the sequence {ak} = 1 = 1. -1 1 -1 1 -1 2 5 6 Select co ܠܛ the true statement: A The sequence {ak} and the series Ļak both diverge. B. The sequence {ak} converges, but the series [ak diverges. c| The sequence {ak} diverges, but the series [ak converges. D| The sequence {ak} and the series ak both converge. E None of the above.
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
Consider the series
a. List the nth term, Sn, of the sequence of partial
sums for this series.
b. What does the series converge to?
Can u please explain the steps? thanks SO much! There are
three different parts.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation notation is "n 1". a. Write the first four terms of the series b. Does the series diverge or converge? c. If the series has a sum, find the sum.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation...
problem 1and 2
Problem 1 [3 marks] Assume that the nth term in the sequence of partial sums for the series ,, is given below. Determine if the series is convergent or divergent. If the series is convergent determine the value of the series. a) Sn = 2-72 b) SEP Problem 2 [2 marks] Does the series (-1)" cos converge absolutely, or diverge?
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