23 The value of cot Scot Scott n=1 (a) 23/25 (b) 25/23 (c) 23/24 n 1+ Σ2k k=1 is (d) 24/23

Q: Suppose we have o(n)= = 2 . What can you say about n?

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Q: Determine whether each series converges or diverges. State which convergence test is used and show…

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Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use…

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Q: Q.7) In a party 25 people shake hands to each other (only once). How many n(n-1) handshakes will…

A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: (a) A B (b) (c) P(A)=0.82, P(AUB) = 0.91, P(B) = 0.64

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

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Q: Σ n=1 (n+2)(n+3) ОА. 1 О в. 1 4 Ос. 1 2 %3D

A: According to the question, we need to find the summation of the terms: Function: ∑n=1inf1(n+2)(n+3)…

Q: 15 Σ (3k +2) K=11   (Find Sn)

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Q: Suppose that q 1 is a constant. Calculate the sum n Sn = kqk = q + 2q² + 3q³ +…+nq” k=1

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Q: n (n + () A k=0 | B, = 0.

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Q: 81. Prove: 2+4 +6+ + 2n = n(n + 1). ...

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Q: 50 Evaluate Σ j=1 1 j+1

A: Series and it's value

Q: Which of the following is TRUE? -52%3D0( mod 13) OA. -1=-13( mod 13) OB. 446=-278( mod 7) OC. 1=0 (…

A: Only (A) is true.  The detailed solution is as follows below:

Q: How make that? k = (5²+1) JK ds = (5+1-15+0·1) ·10 (115²-185-11) (105²+115+1)²

A: Step 1: Given K=−(s2+1.1s+0.1)(s2+1)​. To Find: dsdK​ Step 2: We know that if f(x)=v(x)u(x)​, then…

Q: B. Find the value of n: (n+3)t 1. (n+1)! = 20

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Q: C. Prove the following using PMI. 1. 1+4+7+... + (3n-2) = " (3H=1 for all n21. n (n+1) 2. 1+2+3+...…

A: We will prove the given statement using PMI.

Q: 1 n=3nln n-n K

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Q: 29. For any odd integer n, n° n² +3 %3D 4 4

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Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: Q73. If P(A n B) = and P(A' n B') = ½³, P(A) = p and P(B) = 2p then value of p is :

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Q: Do not use a calculator in this question. integers. 4-3/6 V3+ v2 giving your answer in the form…

A: Using the FOIL method, it can be written that a+bc+d=ac+ad+bc+bd. The conjugate of x+y is x-y.

Q: n+1 Ei.2¹=n2"+2 +2 i=1 For all integer n >= 0

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Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: 10 Evaluate Σ(2n – 1). n=1

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Q: 8 Σ 26 2(5 Find: k=1

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Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: (-1)" In(nº) Σ 20. 4n n=2

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Q: Show that, for n > 1 2n 1.3.5... (2n – 1),2n 2.4.6...2n n

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Q: 3) Σ (-1)" n=1 n+2"

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Q: 34) Ź (K²_2K) is e (n3) Ź ķ? ビ=3 Ź 2K = k=3 ntro)(2n+1), entntt) Sungs are さ。 2n3+ 3n?+n – ant- Gn…

A: We have solve the given  problem

Q: 3n-m Let C = n, m EN- Then sup(C) = n?m

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Q: Σ(0) - i=0 n Σ ;*² (1) = (n + n?)2n-2. n2n-1

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Q: nl (n-8) ? 22-(²H₂) (9

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Q: 2(-1)n-1_6" n=1 5n+1

A: To find: ∑n=1∞-1n-16n5n+1

Q: Prove that Σ₁ iª = n(n+1)(2n +1) (3n² + 3n − 1) i=1 30

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Q: Suppose that E-1 ak = -2 and E=1 bk = 5. Find the values of n k=1 and n 2(ak + bk) k=1

A: To find the values