4n (6) E+0 n=1 (n+1)3

Q: 10 5n² + 5n + 2 an 5n5 + 6n + 3/n, k =

A: Given a series . We need to find a number 'k'. Let's start.

Q: n2 + 40 9. n2 + 3n +1 { Sn=1

A: We have to check sequence is increasing or decreasing, monotonic, bounded above or below or bounded:

Q: Find the interval of convergence for the figure below

A: 1. ∑n=0∞ (-5)nn!(x+10)n2. ∑n=0∞ n!(x+5)n3. ∑n=0∞ en(x-2)n4. ∑n=0∞ (x+4)n(n ln n)2

Q: n2 -5n +4 an 3n2 +5 n-1 Vn=6n- 3 4 %D Wn = 4 %D -/3 II

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Q: ( a ) Ση-1 (b) En=2 n7-1 15n-2 (c) En=1 11n+3 1 (d) Σn1 n14 (-1)" (e) En=1 7n+4

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Q: n2 – n 1 2n² + n الم نابعة زختبر تقارب -

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Q: Find the radius of convergence and interval of convergence of  Σ 2 to infinity ((x+2)^n)/(2^n)(ln n)

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Q: 1 1 E (ii) 1+ +9 n!' (iii) 1+4 +9+..., (iv) +) (i) +=) 3n n=0 .. ) n n=1

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Q: e3t -1-3t { 9 O 3/(s^2(s-3)) O 1/(s^2(s+3)) O -3/(s^2(s+3)) 1/(s^2(s-3))

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Q: (-2)"+1 n+ 5" (2n)! 2n - n! - n (a) (b) (-1)". n=1 n=1 (c) E(-1)": (n!)'3" (2n + 1)! (d) 5 (-1)"…

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Q: 26 E(- 1)"2n - %3D n=0

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Q: TL ( - k) = | k-1 a. 6n + (n + 1)(2n + 1) - b. n(n + 1)(2n + 1) c(n²-1) C. O d. n3 e. 00 f. 플 (n +…

A:

Q: write down the first five terms of each sequence

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: b) 13 + 33 + 53 + .. + (2n – 1)³ = n²(2n² – 1) - Ensure that you explain the steps taken.

A: Explanation is given as follows:

Q: In n с. n=1_N E(-1)"n-10/11 d. n=1 c. E(-1)"n* -6/5 n=1

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Q: E(-1)n + 1(n + 8)x" n = 0

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Q: 2*-2 2. E 23- (n² +4) 6n² 3. 2 n=0 N° - 5n +3

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Q: (c) –1)" n'/3 n=1 e2n ( a) Σ (2n)! n=1

A:

Q: 1 n +1 k=0 n n(n+1) 2 2 k=0 n 3 E k2 n(n+1)(2n+1) 6 k=0

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: 2. Find the value of 2n=1 Sn=15 2n + 3.

A:

Q: How do I calculate this using Excel?  If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)?

A: Solution: From the given information, Z follows N(0,1).

Q: 9. E (-1)* "´x" 2" 10. n=1 brex" 11. Σ (-1)" 4" In n 12. n=2 onul nsa (-3)" 00 13. У

A: Radius and interval of convergence

Q: 4" - n! (a) L(-1)* (2n)! T=3

A: In this question, we have to test the series for convergent or divergent. Here we use the  ratio…

Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: 5) h(n) =-2n² + 4; Find h(4)

A:

Q: 2n zn こ (n) n:0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: (2n + 1)(n² + 1) (e) > (n – 1)(n² – 4)² | n=3

A: The given series is divergent.

Q: 4n +1 (a) 2n2 +3 n=0 5n2 – n+1

A: Since multiple questions are asked, I am answering first question

Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

Q: Do 4,5,6

A: solution

Q: Σ а. 1+ n³/2 n=1 b. Σeης n=1

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: Identify the two series that are the same.

A: We have to find which series are same. We have given series…

Q: 5n2 For E>0, there is a corresponding N such that -4/0 N. 4 +3 Then the value of L will be

A: Given function is , f(n)=5n24n+3

Q: Example 9.10. Solve yn2-4y = n² + n - 1.

A: The solution is given as

Q: E10 (-1)(n-1) ماتلاب :find n=1 (n+1)2 Zn=D1

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Q: 2" (a) 3 3n+1 (c) E(-1)"; 4n n=1 (b) 3+5n² (4) E n+ n2 n=1 n=1

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Q: 5. Find (). 24e-5s L-1 S s2 – 9 s2 + 8s + 17

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Q: 2(-1)n-1_6" n=1 5n+1

A: To find: ∑n=1∞-1n-16n5n+1

Q: 3.6...(3n) E=1(-1)" n=1 2n2.5...(3n-1)

A:

Q: n Σ k + 2n + n2 | n k=1

A: use the sum of first natural number  to evaluate the sum

Q: e) Un n²-3n+ 1 2n²+1

A: Introduction: A sequence is a collection of functions. This function makes a map from the set of…

Q: п+1 а) Σ п+1 (-1)"*1 п-1 00 п (-1)" b) E 3" n=1 п 00 п (-1)"(5n–1) Σ 4n+1 n=1

A: In this question we have to determine whether the series is converges or diverges.

Q: |2(1.16)* a. red (R) |2(1.46)* b. green (G) Ev 3(1.16)* с. blue (B) - |2(0.66)* d. orange (O)…

A: At x=0. The 21.160=2, 21.460=2, 31.160=3, 20.660=2, 20.850=2 Hence the orange line is 31.16x. It is…

Q: (2s+5)e-2s i. s²+5s+6 se-35+2 ii. s² +2s+2

A:

Q: 6 - 22n-1 5n+1 n=1 =D1

A: Given: ∑n=1∞6×22n-15n+1 A ∑n=1∞fn series is convergent if, fn+1fn&lt;1 Check the convergence of the…

Q: Σ 2n+3 + n2 +3n n-1 3.

A: Given series ∑n=1∞1n2+3n+2n+33n

Q: S (2n)!n² (2n + 2)!

A: We have to find  limn→∞(2n)! n2(2n+2)!

Q: (k-k) = O a. n O b. 6n +(n + 1)(2n +1) OC. 00 O d. (n + 1) O e. 4(n + 2) (n² - 1)

A: