(-) is e(1+4n)i where n is an integer. O equal to the above O None of these e(1+2n)i wheren is an integer. where n is an integer. equal to the above O equal to the above

Q: in is where n is an integer. equal to the above e(1+2n)i wheren is an integer. equal to the above…

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

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Q: A person stands at the corner marked A of the square pictured below and tosses a coin. В C 9 ft If…

A: If a random variable takes only specific values then the random variable can be termed as discrete…

Q: n be a positive natural nun (an)" is equivalent to: 4n Let a) n²n (n²-4n) b) n(n²^_^) d) na^ (^^-2^)…

A: Given, n4n-(2n)2n

Q: 4.) Find the value(s) of k such that A is singular. 1 k 2 A = -2 -k 3 1 -4

A: The given matrix is                               A=  1  k    2-2  0 -k   3  1 -4 We have to find…

Q: 5. Give a general form for T(n) for n > 2

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Q: (-1)" n+1 nEN. E = %3D n

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Q: 19. Let a, = (-1)" Vn 2 1. Calculate the value of an+1 - a, for odd values of n. %3D А. -1 В. -2 С.…

A: As this is a multiple question type, according to Bartleby Answer Rule, only 1st question is to be…

Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: (-1) is e +4n where n is an integer. i where n is an integer. equal to the above equal to the above…

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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: The sum of the first n positive odd integers = Check all the correct answer/s. Σ I T Σ(2x + 1) 2=1…

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Q: e(1+2n) where n is an integer. e(1+4n)i where n is an integer. equal to the above equal to the above…

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Q: Which of the following statement is always true? (a) p(2n) = p(n) (b) p(n) is always even. (c) Edin…

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Q: The solution of e² = -2 for n = 0,±1,±2,. is %3D ... Select one: O a. In2 + in(1+n) O b. In2 +…

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Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an…

Q: 4. E=1(-1)k In k

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Q: Which of the following is TRUE? 2x2+1is n(x2) since Cx222x²+1 for all x 21 where C=3. OA. n is a (n3…

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Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: (-1)"(n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0

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Q: The coefficient recursion relation for the solution Y1 = E an x"+1 of the %3D n=0 equation x2y" –…

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Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

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Q: For all n E N, let An = {0, 2n, 4n, 6n, . . {x € Z|(3n E NU{0})(x = 2n)}. (a) Find (with proof) [U…

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Q: 19. Let a, = (-1)" V n > 1. Calculate the value of a,+1 – 4, for odd values of n. А. -1 В. -2 С. 2.…

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Q: (-1)"(п + 2) 2n+1(n +1) Compute the exact value of n=0

A: The geometric series formula is ∑n=0∞rn=11-r, where r&lt;1. Simplify the numerator of the given…

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

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Q: is equal to. k=1 n2 The sum O n+1 2n O n+1 O n? +1 2n2

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Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: (-1)"(n+ 2) 2n+1(n + 1) 4. Compute the exact value of n=0

A: Given series is  ∑n=0∞-1nn+22n+1n+1

Q: (k² – k) = O a. n? O b. n(n + 1)(2n + 1) O c. 6n + (n +1)(2n + 1) O d. (n + 1) O e. 플 (12-1) O f. 00…

A: the given expression is: ∑k=1n k3-k we have to find the value of the given expression.

Q: (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of n=0

A: The ratio test can be used to assess if a series is converging or diverging. The following are the…

Q: Please help I’m stuck on this one, I’m stuck

A: Introduction: Big-O notation analysis on polynomial function: If f(n)=a0+a1n1+a2n2+...+amnm, then…

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: -100 0 Given A = Find eAt O A. e-100t 2et 5t e nt O B. [ el00t o O eT Oc.re-100t O D. Does not exist

A: Given below the detailed solution

Q: Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n.

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Q: 17. Let a, = (-1)" vn 2 1. Calculate the value of an+1 - a, for odd values of n. A.-1 В. -2 С. 2 D.…

A: Given sequence is  an=(-1)^n

Q: [-3 Find all values of λ for which | Al3 - A| = 0, where A = 0 1-2 -1 -31 3 0 -1 -2]

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Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: H(n) = 0 if n is  less than or equal to 0  H(n) = 1 if   n=1 or n=2  H(n-1) + H(n-2) - H(n-3)  if…

A: The conditions for H(n) is given as,

Q: (1 – iy3)i is | а. е where n is an integer. b. e(1+4n)n where n is an integer. c. e(1+2n)ë where n…

A: We are given : (1-i3)2i Let z=(1-i3) r=12+(-3)2=2tan θ=-31=-3 θ=nπ-π3 Now,…

Q: 1 1) Σ n=2 nlnn a : (doğ b) d) 1 e) -1 E 1nªe-n² -n=1 (doğnu)

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Q: 5. (8x*y® + 3x³) dx + (12x°y³ + 3xy²) dy = 0

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Q: 5 (a) Consider the positive integer s = 23n-1. n=2 (i) Express s as a sum without using E-notation.…

A: Given sequence is  s=∑n=2523n-1

Q: -1)" (3n+2)| x2 By differentiating 1+x3 En=o[(-1)"(x)3n+2] , find the exact value of E-o 8n

A: Given: x21+x3=∑n=0∞(-1)n(x)3n+2To find: The exact value of ∑n=0∞(-1)n(3n+2)8n By using…

Q: η Σ (1) 5 k=1 k odd = 6" - (-4)" 2

A: Here we prove that ∑k=1k oddnnk5k=6n--4n2

Q: ir is 1 None of these e(1+2n)i where n is an integer. equal to the above where n is an integer.…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: -2 k Using only a simple calculator, find the values of k such that det(M) = 0, where M %3D 1. -9 As…

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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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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.