a. 2+4 + 6 +8+10 + … + 2n = n + n² ... b. 1+8+27+ .. + n³ = n² (n + 1)2 %3D c. 2+5+8+ ... + (3n – 1) = n(3n + 1) +뚜+뚜+ 1 d. 1-3 + ... + 5-7 (2n–1)(2n+1) 3-5 2n+1

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Q: a) 5n + 1 3n2 2" (b) Σ 1 ( c) Σ n=2 nº - 7 - 1 n=1 n=1 3n

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Q: P(0< z < ze)=0.4573

A:

Q: Match the series with the graph of its sequence of partial sums.

A: Given: Sn=∑n=1∞ (-1)n-1  42n! To determine: Which of the given graph matches with sequence of…

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Q: P(z -1.16) = P(z 2.61) = P(0 < z < 2.32)

A: We will use Standard Normal table to find the required probabilities.

Q: 5. Find the sum of the first 10 terms of An, where 1, and a2 an 2aп-1 + an-2, а1 %3D %3D = 1.

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Q: -1 1 2 A 3 3 4 det A 0 0 -2 0 0 2 4 B = -5 6. 1 5 3 3 det B: -1 0 0 0 3 0 0 C = 2 0 0 4 0 0 0 0 -2…

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

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Q: 11) [o -5 -3 4]-[1 0 4 -1] 1 -2 3 -2 55-2 12) -1 5 13) -3 -5 6 6 -5 2. 14) [S 4 6 -1]+[-3 -1 -2 -3]…

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Q: For every n E N, 1+3+5+ ·.+ (2n – 1) = n² + 3.

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Q: 3. Ms. Flanagan has three daughters: Astrid, Beatrice, and Cassandra. Today, January 1, their ages…

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Q: P(z ≥ -1.5)

A: (Hey there! Thank you for posting the question.Since you have posted a question with multiple…

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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: - 31 0 -6 4 T3 1 0 07 - Let A 0 -1 -7 B 4 8 -4 0 - – . 4 1 -4 3 - |AB| = |BC| = II

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A: In this case the family decodes to have children until it has three children of same gender.

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Q: a.n=5, x=1, p= 0.3 d. n=5, x=2, p=0.4 b. n= 6, x= 3, q = 0.2 e.n=6, x= 3, q=0.8 c.n=4, x= 0, p= 0.7…

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Q: Solve the following game. XX = last two digits of your roll no. Player B Player A BI 3+XX 4+XX A2…

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Q: 28 X P(X=x) 2 0.10 3 0.20 4 0.30 5 0.40   P(X<4)=???        a) 0.40  B) 0.30  NS) 0.50  D)…

A: Given : The given probability distribution is X P(X=x) 2 0.10 3 0.20 4 0.30 5 0.40

Q: 4) (n* + 12n² + 37n² + 21n – 27) ÷ (n+ 3) |

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Q: 4 a. En=1 100 3n3-5n 11 b. nylnn n=1 3n! С. Z1·4·7·10 … (3n + 1) ... n=0 8

A: See the details solution in below

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: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4)…

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Q: 2 a. [(A + B)¯']" - -1 2 A = 2 4 -12 3 -5 b. det. (D) and (E – C) [E x (A х В)-1 ] 3 1 C. B = 4 5 8…

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Q: 3. 2 B -1 0 1 а) A = 1 -2 -4 5 -3 -3 b) A = 7 11 -11 13 A 28 43 -6 18 B = 22 -3 c) 3 7 4 3 12 B = d)…

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Q: 3n (n - 10) - 8 (n + 7)n – 9) 2) 10(n – 8) (n – 9)(n + 10) (n – 6)(n + 10) A) (n + 7)(n – 6) 3n n-…

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Q: (a) Ha: B1 0, with n = 26 andt=1.91 <p< 1 (b) Ha: B1 # 0, with n = 12, b1 = 0.16, and sp1 = 0.06 %3D…

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Q: The number N of deer in a certain population t years after observation began is given by  N =…

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Q: 2 4 5 4) A - 4 11 5 4 -1 24 1 0 0][2 4 51 A) A = 4 10 ||0 11 5 0 0 24 [10 0][2 4 5 B) A = 2 10 || 0…

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Q: Let z be the principal value of (-1- i) Then O z = e(7 2In 2)/4 and arg(z) = -4+ In /2 and arg(z) =…

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Q: In a toll, a dollar is charged to private cars and 2.50 to public service, suppose that, during…

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