3n n² + 7 ) n=1 ather means

Q: )"-( 18 6. lim V n4n +(4n)" 2+ n2 4 4+ n2

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Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

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

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Q: D. Show that if a, = 3n³ - 17n² + 2n - 6, then an O(n³).

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Q: 8n and IfΣ (ακ+ be) - n+1 k-1 2(ak - E(ak - br) = - n, then ak = n+2 k-1 k-1 3 O 2 9. m/2 2. wwwwww

A: simplify the equation by adding them and tends to limit to infinity.

Q: 12 + 22 + ..+n² = n(n+1)(2n+1) 6. is true?

A: Here we have to show that which value of n to proof the mathematical induction in the first step.

Q: = .7 and p, = .6. Test Ho: (P, – P2) =0 against Ho: (P, - P2) >0 using. .05 a =

A: Hypothesis testing about the difference between two population proportions is otherwise called…

Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: How many non-negative integer solutions (O is allowed) are there to r +y+ z = 24?

A: The given equation is, x+y+z= 24 We know that, For equation,  x1+x2+......xr=n  There are n+r-1Cr-1…

Q: 64. Find the value of n so that PQXY is isosceles. - (6n² + 7) (8n² – 11)

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Q: 4. Conclude that n2 n=1 ||

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Q: If (ar + br) 4n and n+1 k-1 E(ak - br) 1 then ar = | n+2 k-1 k-1 3 5. None 2. 72n/2

A: use elimination method Find limit for n tending to infinity.

Q: 4. (a) In O0, if L AOD = 50°, find 4 CBD. %3D B D C.

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Q: C. n In n n=2

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Q: 7. 7. Suppose X - N(u.4), which is true?( X- (A) N(0.1): (B) PIX S0} = 4 (C) PIX-u>2; =1-0(1): (D)…

A: Here we use the properties of normal distribution to solve this problem.

Q: -In2 2e® cosh 0 do -In 4

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Q: 8. Determine (MN)-1 where M (:) 5 and N -5 2

A: The given matrices are M=8541  and  N=5-1-52. Evaluate MN as follows.…

Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

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Q: Is 12n + 18 equivalent to (2n + 6) (n + 3) ? True O False

A: Answer: True.

Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

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: 14. If n e Z, then 5n2 +3n + 7 is odd. (Try cases.)

A: By method of direct proof, prove the statement " If n∈ℤ, then 5n2+3n+7is odd"k∈ℤk∈ℤ as follows.

Q: 2. Given ON=4x NE = 3x +8 OE = 36 36 %3D 0 4x N 3x+8 E ON + NE = OE

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Q: In? (n) +7+ + 2" lim n→∞ 2n + 5 +n121212 + 4n n2 (d) 4+ + In4(n) + 4" + (n + 4)!

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Q: If (ar + bx) 8n and n+1 k=1 n Σ (α- br) 1 1. then ar n | n+2 k=1 k=1 O 2 None 9. 2 5 2 3 2

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Q: hich of the following expressions are equivalent to 2n 4n2 + 4n n+ 5 4n2 + 6n 10 (n+ 1) C 4n (n+1)…

A: given,

Q: μ1 = μ2 = 0, n2 = 27 and n1 = 19; thus df is:

A: Given that, μ1 = 0, μ2 = 0, n1 = 19, n2 = 27. df is degrees of freedom for testing the hypothesis,…

Q: Let S = { 1 - (-¹)" | n € N}. Determine inf S and sup S. Justify. n

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Q: (-1)" In(nº) Σ 20. 4n n=2

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Q: 3. Which statement about k (z)= 3z -7z+2 is true?

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Q: Σ Ea = n². %3D k=1

A: It is given that,  ∑k=1nak=n2

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

A: Sum of n natural numbers is n(n+1)/2.

Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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

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Q: If Lak 101n+5 then E 102ar %3D 102n+4 k=2 k=2

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Q: Q.8 Í xPn+1®n+2dx= Evaluate: n+1*n+2° -1

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Q: ъ) n EN COn n > 0, (2n)! < 22n . (п!)?

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Q: Given: 21 = 2 23 = L4 e || n Prove: 2 3

A: …

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: Vn EZ, if n+5 is odd then n is even

A: This question is related to integer values. We can prove it by using direct or indirect way. Please…

Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: Is 2 (n² + 6n + 9) equivalent to (2n + 6)(n + 3)? O True False

A: (1) Function ht=15+60t-16t2 Given that value t=10…

Q: 2 - p(1< y 2) %3D 0.504 O 0.603 0.704 O غير ذلك

A: We know that the probability of any distribution or an event happening is always between 0 &amp; 1…

Q: Since n;.n;=1 and n=n23D(2/2)/5 then n3 +3/5 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: IfΣ (ak + bk) 4n and n+1 k=1 E(ar – bx) +, then Eak %3D | n+2 k=1 k=1

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Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…

A: Function represents the relation between dependent variable and independent variable. Function…

Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…