Homework Answers
the
sum of an geomatric series with common ration r and first term a is
a/(1-r) so we use this formula here.
Ans)d.2/9
Add Answer to:
8. Find the sum of the infinite series: a. 9/2 b.2k/9 C.-2k/9 d. 2/9 e.9k/2
Find the partial sums for each infinite series below: Infinite sometric Series 12 4 8 +1...
Find the partial sums for each infinite series below: Infinite sometric Series 12 4 8 +1 +2 +4 + 8 + ... 16 s A series that approaches a certain sum is called a CONVERGENT SERIES A series that does not have a certain sum is called a DIVERGENT SERIES. then the series is then the series is nvergent Series Formula To find the sum of a convergent infinite geometric series, use the formula: Determine if the series is converent...
(1 point) Find the infinite sum of the following geometric series. If the sum does not...
(1 point) Find the infinite sum of the following geometric series. If the sum does not exist, type DNE in the answer blank. 8. 9 i=0 Answer:
32. Use a formula to find the sum of the infinite series 3 9 27 81...
32. Use a formula to find the sum of the infinite series 3 9 27 81 2' 8'32'128 soiution
Problem 9. Develop C++/CLI program to calculate the sum of first elements of the infinite series. The program should compare the calculated sum with the theoretical limit of the sum of the infini...
Problem 9. Develop C++/CLI program to calculate the sum of first elements of the infinite series. The program should compare the calculated sum with the theoretical limit of the sum of the infinite series. The Program also should find the critical number of the elements in the sum,after which increasing the number of elements in the sum give increasing the difference between the theoretical limit and the calculated sum. Use the Windows Forms C++/CLI technology for the user interface.
Problem...
2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite se...
just question 3
2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite series Σ a, to converge to the sum L E R. (b) For the series 2ー, write down a formula for the kth partial sun 5.- (c) Using your answers to parts (a) and (b), show that Σ n'tn-1. Hint for Part (b: what is T12 -1 91 nn+1 We were unable to transcribe this image
2. (9 marks) This...
b) (Bonus Question - 10 Points): Compute the infinite sum 1 Σ k= (2k-1)(2k +1)
b) (Bonus Question - 10 Points): Compute the infinite sum 1 Σ k= (2k-1)(2k +1)
1 1. Find the exact sum of the following infinite series as indicated below: -1 1...
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
6. If the sequence an converges, find the limit b. o C. 1 d. e. It...
6. If the sequence an converges, find the limit b. o C. 1 d. e. It diverges Find the sum of the convergent series: 7. Σ (hint a telescoping series) a 8. For a series Σ"。 find the sum if it converges (hint: a geometric series) 9. Determine the convergence (C) or divergence (D) of the sequences and series, respectively C.DCDC d. CCDC e. None of these
Find the sum of the infinite series 1 - 3 +225 21 2 3:2 4: ---...
Find the sum of the infinite series 1 - 3 +225 21 2 3:2 4: --- by matching with a basic Macaurin series. e1/2 1/2 In(1 + 7/2) In(1-/2)
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether...
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the series converges or diverges. 00 1 n+ 5 1 n + 6 n = 1 Sn = converges diverges If the series is convergent, find its sum. (If an answer does not exist, enter DNE.) 1/6 Need Help? Read It Watch It Talk to a Tutor Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the...
Find the partial sums for each infinite series below: Infinite sometric Series 12 4 8 +1 +2 +4 + 8 + ... 16 s A series that approaches a certain sum is called a CONVERGENT SERIES A series that does not have a certain sum is called a DIVERGENT SERIES. then the series is then the series is nvergent Series Formula To find the sum of a convergent infinite geometric series, use the formula: Determine if the series is converent...
(1 point) Find the infinite sum of the following geometric series. If the sum does not exist, type DNE in the answer blank. 8. 9 i=0 Answer:
32. Use a formula to find the sum of the infinite series 3 9 27 81 2' 8'32'128 soiution
Problem 9. Develop C++/CLI program to calculate the sum of first elements of the infinite series. The program should compare the calculated sum with the theoretical limit of the sum of the infinite series. The Program also should find the critical number of the elements in the sum,after which increasing the number of elements in the sum give increasing the difference between the theoretical limit and the calculated sum. Use the Windows Forms C++/CLI technology for the user interface.
Problem...
just question 3
2. (9 marks) This question is about infinite series. (a) Explain what it means for an infinite series Σ a, to converge to the sum L E R. (b) For the series 2ー, write down a formula for the kth partial sun 5.- (c) Using your answers to parts (a) and (b), show that Σ n'tn-1. Hint for Part (b: what is T12 -1 91 nn+1 We were unable to transcribe this image
2. (9 marks) This...
b) (Bonus Question - 10 Points): Compute the infinite sum 1 Σ k= (2k-1)(2k +1)
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
6. If the sequence an converges, find the limit b. o C. 1 d. e. It diverges Find the sum of the convergent series: 7. Σ (hint a telescoping series) a 8. For a series Σ"。 find the sum if it converges (hint: a geometric series) 9. Determine the convergence (C) or divergence (D) of the sequences and series, respectively C.DCDC d. CCDC e. None of these
Find the sum of the infinite series 1 - 3 +225 21 2 3:2 4: --- by matching with a basic Macaurin series. e1/2 1/2 In(1 + 7/2) In(1-/2)
Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the series converges or diverges. 00 1 n+ 5 1 n + 6 n = 1 Sn = converges diverges If the series is convergent, find its sum. (If an answer does not exist, enter DNE.) 1/6 Need Help? Read It Watch It Talk to a Tutor Find the Nth partial sum of the infinite series and evaluate its limit to determine whether the...
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