2. Let, a, = 3, a2 = 4 and for n 2 3, an= 2an-1+ an-2 + 5, express a, in terms of n.

Q: D2) Let A= Fid ABud BA al B.

A:

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: Let B- (X1), and C-(X4). Then P(C)-P(B)-

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here given Cumulative…

Q: Suppose a, = —4а,-1 — За,-2 — 2а,-3 аnd aд — 21, аз — -77, and as — 259. Find aj, az, and ag- az =

A:

Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

A:

Q: 8. Provide justification for you what will appear on the ex asked. (-1)" (2n)! (a) n=1 n4 – 4n -

A:

Q: arch report states that t(18)=+3.09, p<. 05. For this test, r2 =. 33. True

A: Given: df = 18 test value (t) = 3.09

Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: If A -B=0, implies that A*=B"

A: Given a statement

Q: If C(11.n)=330, then n is equal to?

A: The combination formula is Cn,r=n!r!n-r!.

Q: 7. If 23a+7 = 16a+1, what is the value of a ?

A:

Q: 37 If [T; B,, B2] =| 1 1 2 -1 2 - 2 find T. 2

A:

Q: Prove : (A-B)n C =(A n C) -B

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Q: Let an+2 3an+1+0an. If ao =4 and a1 =6, what is the value of a4?

A:

Q: If n E N and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Here n  N and n&lt; 2000. So, n= 1,2,3,........,1999.

Q: Given: m<2 = 95, m<4 = 5x Prove: x = 17 3/4 5/6 7/8

A: Given: m∠2=95∘, m∠4=5x∘ According to given figure angle 2 and angle 4 are linear pair, and we know…

Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: Find k given that (2, k) is equidistant from (3, 7) & (9, 1).

A: The distance between two points that have coordinates (x1, y1) and (x2, y2) is given by the formula:…

Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

A:

Q: Assume that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35. Find n(A∪B):

A: Given that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35.   From n(B′)=62 we…

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

A:

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: Given: If Elan stays up late, he will be tired the next day. Elan is tired. Conclusion: Elan stayed…

A: Given: If Elan stays up late, he will be tired the next day. Elan is tired.Conclusion: Elan stayed…

Q: 3 1 Let A = Write 2A. Is det(2A) equal to 2det(A)? 2 9

A:

Q: It is known to be Q∼N.Show that QxQ∼N

A: I have proved using infinite cardinal numbers and its algebra

Q: 31}. Then the are

A:

Q: f m: n=5:3, find 3m +4n : 6m -2n

A: If m: n=5:3, find 3m +4n : 6m -2n

Q: 7. Given that a = -3, a2 = = 4, and a, = 3a-1 - 5a-2 for n 2 3. What is a;?

A: a5 = 48

Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: (b) {an}, where an 1 if n is odd and an = ; if n is even. |

A: Given that an where an=1n if n is odd and an=n2 if n is even.

Q: x², if x 2 and x 36 5. q(x) · 10 – x,

A:

Q: If x~N(μ,0²), then (271) ²~... Option 2 Option 1 ********* N(0, 1) G (1,2) x² (2)

A: Solution-: Given: X→N(μ,σ2) then (X-μσ)2....

Q: 1. If X ~ N(200,2²), find а) Р(X < 197) b) Р(Х < 200 .5)

A: Note: According to Bartleby, expert solve only one question and maximum 3 subpart of the first…

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

A:

Q: If nana"--) 2anx" = 0, then az = n=1 n=0 (A) ao (B) ao (C) ao (D) ao (E) ao

A:

Q: If n E N and n< 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given that, If n∈ℕ and n&lt;2000 then calculate how many numbers n have the property that the sum of…

Q: 3. Let r and y be positive integers. If r divides y and y divides r, then r y. 4. Let a, b, c E Z.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find (r In r)9) and ()").

A: Use the following differntiation formulae, to obtain the required derivatives.…

Q: b. She gets one of each color other than blue, given that she gets at least one red one.

A: Here use conditional probability and hypergeometric distribution

Q: 2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

A: Given that, P(A U B) = 0.6 P(A) = 0.4

Q: Assume that n(U)=70n(U)=70, n(A)=20n(A)=20, and n(B)=15n(B)=15. Then n((A∪B)′)=

A: The given details are                n(U) = 70                n(A) = 20                n(B) = 15

Q: show that given two numbers m and n, if m is even and n is even, then the product is even

A: Solve by using product rule

Q: =981, power=1325 and m=2537 -ne 1 and 21 1 and 1325 1 and 21

A: Answer : None

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem