Question 12 Prove that 1(2) + 2(3) + 3(4) +.+ (n – 1)n n(n-1)(n+1) . for n > 2. 3 ... Edit View Insert Format Tools Table 12pt v Paragraph BIU Av ev T? v :

Q: G= G(2:3,:) G= ? 1 4 7 2 5 8 3 6 9

A: It is provided that: G=123456789. We need to evaluate the expression: G2:3,: using a computer…

Q: 10. Give a combinatorial proof: For n ≥ 1 and k ≥ 1, (n)k = n · (n − 1)k-1.

A: To give: A combinatorial proof: For n≥1 and k≥1, k·nk=n·n-1k-1.

Q: Prove that if n is a +ive integer,

A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

Q: 4. Write system/ 2, 3, 4. Sum the four equations to derive a simple equation for system. out in full…

A:

Q: Which of the following is not equal to P(100, 2)? 2P100 100! 98! 9900 100P2

A: We have given, P(100,2) The number of permutations of n things taken r at a time is defined as,…

Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: How many zeros does the function below have 1 31 - g(1) + Vi +1- 3.1, (-1,1) O A) 4 O B) 3 C) 0 O D)…

A: Given:

Q: (x-1) (x-2)(2x-5) Which values of x need to be excluded (because they make the expression…

A: Function is undefine when denominator is zero.

Q: (n-1)! Use Euler's theorem to prove that if n is an odd integer, then n divides 2 -1.

A: Using Euler theorem to prove it.

Q: A les por esto mo ban SCLO22 (LOW SRA T Page 15 of 38 2 (a) Find the m<ARG. Work is required and…

A: We can answer both the question in the below steps.

Q: 2.24 Derive the simplest sum-of-products expression for the function f(x₁, x2, x3, x4) X₁ X3 X4 +…

A: we have to derive the simplest sum-of-products expression for the functionFor the given function,…

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

A:

Q: Let Z~ N(0, 1). Find P(Z < -2.2).

A: given data standard normal distributionZ~N(0,1)P(Z&lt;-2.2) = ?

Q: 1. Consider the algebraic expression 6n³-n²+5 -11 a. How many terms are there? b. Identify the…

A: As per our guidelines we will only solve the first three subparts i,e a.b.c of question number 1. If…

Q: R² = gen gen

A: see below the reason

Q: 4. Suppose A is 5 x 7, and Nul A has dimens (a) What is rank A? Explain how you de= your answer. (b)…

A: Given, A is 5×7, and Nul A has dimension 5.

Q: Question 3. Show that n3 + 4n2 +1 O(n²). %3D n+3

A: See the attachment

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: 1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R-…

A:

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: 00 Σ n=2 In n 2 n

A: Note:- As per the guidelines we are supposed to attempt only one question so please upload the next…

Q: Find the first 4 terms of n+3 n² +1

A:

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

A:

Q: (1.2) Show that m m+n+1] m k=0 for any two positive integers m and n.

A: Please check the next step for detailed answer.

Q: Let n 2 2. Assume that Fn is prime. show that -1.

A:

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

A:

Q: Construct the addition table for Zs. Using this table, or otherwise, determine the following x in…

A:

Q: Show that the generating function for the number of compositions of n where each part is either 2 or…

A: To find the generating function for the number of compositions of n where each part is either 2 or…

Q: Prove E-1(4i – 3) = n(2n – 1) for natural numbers n 2 1. i=1

A:

Q: Questión Select all of the following that are equivalent to > (2) + > (3k + 1)? k-0 k-0 n+1 A. O (3k…

A:

Q: 3. What is the value of ? B (9 - 40)" (2t - 3) A D

A: We know thatangle measure=arc measure

Q: Suppose W-Exp(5). What is P(W>1)? Round to 4 decimal places.

A: Given that W follows exponential distribution with mean 5.

Q: Fill in the blank. (Enter your answer in terms of t.) 1 2 + 2_2 -

A: To find the given inverse Laplace transformation we shall use the following rules 1.   L-11s2+a2=sin…

Q: 16) 4j(3 – 9j) + (5j + 2)

A: Given:4j3-9j+5j+2

Q: (9x + 3) D. (5x-2)" (11r-21) Find m<D. (Not x but m<D)

A:

Q: If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

A:

Q: x + 4 dx 9 – (x + 1)2 Ans:-In + C 9 – (x + 1)²|

A: