10n(n? + 1)2 V5n10 – I (a) n=1

Q: n(n+1)(2n+1) 2.Prove k2 = for n > 1. 6. k=1

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Q: n? O Show that ¬-2n= 0(n²). Show your work and give specific

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Q: %3D k (n+1) (k-10 (n+1) k +1 (*) n+1)

A: The correct option is the last option. The detailed solution is as follows below:

Q: (п+2) Zn=3 (п+1)3 (-1)"п? Ln=1 n2+n+1 (-2)п Zn=1 n2 (-3)п Ln=0 (2n+1)! п10 Ln=1 (-10)п+1

A: (1).  The given series: ∑n=3∞ (n+2)(n+1)3

Q: x+2 Q2) k(x) -Vx – 2 , n(a) = x²(x² + 1)¬1, mx) %3D 3-x Find a formula for (n oko m).

A: A composite function is a function that depends on another function. A composite function is created…

Q: 2*k!(x – 5)* 28. E kk k=1

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Q: 100 П 4n 2n n=1 k=0 k in front of the individual rk terms for all kEI

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Q: test by using integral Solve it 2n 3n2+4 n=1

A: In this problem, we need to solve the given series by using integral test.

Q: n Find the general solution of o ( :) (2)*y(n-i) =0. ata of any nonzero real

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Q: [3n+ 2 (-1)A In 3n + 6 n=1

A: Express the alternative series test for convergence. If ∑n=1∞(-1)nan or ∑n=1∞(-1)n+1an converges if…

Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4…

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Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.4…

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Q: 2 Look at the following picture. 000 000 1st term 2nd term 3rd term Prove that the number of…

A: Given:

Q: 1 ER=1 (- 100 k%3D1 2k+1

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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: Vsíng methods of ondetamind cocfficienfs solve er NH LD.E yu + Ay! + Sy =4x²

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Q: k-1, O A. (n+1)! (k-1)!(n-k)! (n+1) В. (k-1)(n-k+2) OB. С. (n+1)! (k-1):(n-k+2)! D. (n+1)!…

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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 +…

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Q: V3n V3n + 4 + 3n² V3n =? n2 + 3n² lim ... n→o 1+ 3n2 A) pi/6 В) о O C) NONE D) 1 O E) pi/3

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Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: b) S. 1 /2n+1 n=1 In+1 c) S̟ =E: In° +1 n=1

A: 7) a) The given series to test is S∞=∑n=1∞e-nn. We can use the integral test for checking the…

Q: How do I calculate this? If Z~N(0,1), calculate Pr(1.55 < Z < 2.65)

A: Given that, Z~N(0,1)

Q: If x1 = 2, xn = 3xm-1 + 2, Vn > 2. Find the general tem æn

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Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

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Q: 21. The number of solution(s) of the equation 3 cosh(2r – 1) = 3 is A 1 с 2 D 3 0-2

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Q: 16. Find all solutions in the range (0 <0 < 2n): 20sin20 – 5 = 0

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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: 1 x" (а) п1 — х1 n=1 (-1)" (b) E x2 – n² n=1 8.

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Q: f(n) = n³, g(n) = 6n + 1 е.

A: Given: e) f(n)=n3 and g(n)=6n+1 To find: a and n0 such that a·f(n)≥g(n)

Q: 4+5n Solve for n if nEN: (4+8+12 + ... +4(n –1))+ (2+4.5+7+. .. -%3D126.5 2.

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Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Given

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

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Q: Solve the initial value problem %3D 2 — 4г, у(0) 3D —2. (Use symbolic notation and fractions where…

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Q: 9. Solve the following equation. sec x - 2 -0 A) 元 x -+ 2n and x- 2n7, where n is an integer 6 B) x…

A: Given: sec x-2=0

Q: Solve the initial value problem dt 5Vi, y(1) = 9. (Use symbolic notation and fractions where…

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Q: 1 Σ Vn2 + k k=1

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Q: () (3 -2 Verify that a = e2t is a solution to ' = 2 %D 2 -2

A: Put the given value of the variable vector in the given system, if both LHS and RHS of system are…

Q: (k) E(-1)"-1. n+1 n=1 Vn +1- Vn – I (1) n=1

A: The given problem is to determine whether the series is converges or diverges using the appropriate…

Q: 5n+7 Find supremum of A :|n E N 4n+12

A: Given set isℝ A = 5n+74n+12 | n∈ℕ We know that a number u is the supremum of a nonempty subset S of…

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Find the radius of convergence and interval of convergence of given infinite series.

Q: an 1 √2n In n an= n² 2 1+5n4 n=2n4+6n³ an=7

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Q: 3n – 5n is n→ o n° - 2n² +1 lim 3

A: It is given that, limn→∞3n3-5nn3-2n2+1.We have to evaluate it.

Q: 7. E(-1)"- Vn +1 n=1

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Q: n2 > 2n for n 2 5 : Solution: Part 1: Part 2:

A: Solution )n2 &gt; 2n for n ≥ 5 For n= 5 52 &gt; 25 25 &gt; 32  For n= 6 62 = 26 36 &gt; 64 Which is…

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)

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Q: 2n2 – 4n +1 is even → n is odd

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