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

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: 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: 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: 16) 4j(3 – 9j) + (5j + 2)

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

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

A: