The power series representation of 1 f (x) = 5x +4 is: O 5 25 125 x+... 256 4 16 64 25 125 x++... 256 4 16 64 5 O 3 + 25 125 x²+ +3 256 +... - - 4 16 64 none 1 4 16 64 +... 5 25 125 625

Q: The power series solution for the differential equation (4-x²)y" + 2y = 0 can be generated from the…

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Q: 2. Suppose thatEm=1an E bn two series, lim,cedn = L and a, s b, for all n. Then E1an and Ln%3D1 2n=1…

A: Explanation of the answer is as follows

Q: A Evaluate each series. 1. (3n +1) n=1 6. 3. Č(2"-3) n=1 5. n=1 n+1 5. 2n+1 7. ons bu n=0 6 9. 3.2"

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Q: 15 14 14k 15* k=1 The series diverges.

A: Questions from the series.

Q: Find the sum of the following series 1 1 + n=1 4h

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Q: Which of the followings are divergent series? 1. In2 + +... In7 In3 InA In5 In6 II. E(-1)" II. (-1)"…

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Q: Consider the sum (3)2 + (8)² + (13)2 + +(15n-2)2: ... (a) Write the sum in sigma notation.

A: Consider the sum  (3)2+82+132+.....................+(15n-2)2

Q: Which of the following is the generating function for the sequence 5,5, 5,5? O A. G(x)=(1-x) 1 O B.…

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Q: use series t Find 2-4 x 2.

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Q: Find the function represented by the power series. 00 X+5 10 n= 0 10 O A. X-5 10 O B. x² - 5 10 C.…

A: Proceed as shown below

Q: Sn = .444 ...

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Q: Sum the following series: (a) cosa += cos(a +B) + COS (b) cos(na + B)+cos((n-1)a +2 2 (c) ·cos(α +…

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Q: The series E-, 2k (-1)*+1 is 'k% D = 1

A: Using comparison test to find type of series. If series of absolute term is divergent then series is…

Q: (-1)*+1 is The series 2k = 1 2k

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Q: X = {1,2,5,5,5,8,4,6,7,5,9,6} the variance of the simple series is

A: Given information: The series X is given as: X = {1,2,5,5,5,8,4,6,7,5,9,6} Assuming that the series…

Q: Which of the following is a power series about x 0? O Vx + v2x + V3x + v4x +... O 1 2 3. 4 +... x2…

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Q: Consider the series n=1 (2x)n n2

A: The objective of this question is to determine whether the given series converges or diverges for…

Q: Which of the following is the sum of the series 00 3 3 (n+1)2 n-1 Select one: O A. 3/4 O B. 1/3 O…

A: Given series, ∑n=1∞3n2-3n+12

Q: Which of the following is the generating function for the sequence 5, 5, 5, 5,. ? O A. G(x)=(1-x)-1…

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Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 +…

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Q: Find the sum of O 10 O 12 8 5 n=1 The series diverges. 573-2-n+1

A: Here we have to find the sum of the series.

Q: Find the sum of the series n=0 3n 1 2 (3-1) 5n

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Q: Which is summation notation for the series 0.3 – 0.9 + 2.7 - 8.1?

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Q: 8 Find the sum of the series Σ η = 1 20 (5η – 3)(5n + 2)

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Q: Evaluate S10 for the series x + (x + y) + (x + 2y) + ..

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find s12  for the series 2 + (-4) + 8 + (-16) + …

A: The given series is                                2+(-4)+8+(-16)+···

Q: Find the sum of each series. Σ k=1 (k +1)(k +2) (a)

A: (a) The given series is ∑k=1∞2k+1k+2. This implies that, ∑k=1∞2k+1k+2=2∑k=1∞1k+1k+2=2…