1.); 'n+1 2.1)n+1 (-1)n+1 n! (2х)^-1 3.) '(2n-1)5 4.)1)"-1 n+1

Q: n be a positive natural nun (an)" is equivalent to: 4n Let a) n²n (n²-4n) b) n(n²^_^) d) na^ (^^-2^)…

A: Given, n4n-(2n)2n

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

A:

Q: Say whether the following is true or false and support your answer by a proof.…

A:

Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

A:

Q: (n^2-n)+((n-1)^2-(n-1))+....+(1^2-1) =n(n+1)(2n+1)/6 - n(n+1)/2

A: We shall first derive the formulas for sum of first n natural numbers and sum of squares of first n…

Q: Add and Simplify your ans 3(2)/(8)+5(1)/(8)

A:

Q: Show for all natural numbers n >= 3 that [(1 + (1/n))^n] < n.

A:

Q: (2x y 2*) (x*)(x-17) (8m'n*)(7m*n") 18a b'c 6a b

A: (a) 2x2y3z43 Simplify as, 21×3x2×3y3×3z4×3=23x6y9z12=8x6y9z12

Q: (a) (b) Use the quotient-remainder theorem to find the gef{77, 42}. Find ALL integer solutions to…

A: Using quotient remainder theorem we can find the gcf is 7 and all integer solution are q=6n+5 and…

Q: {21} s² +4 9-1 3 (28+5)³ 2} ₁-55

A:

Q: Value of the 7th term in (2x + y)"?

A: Follow the procedure given below.

Q: "Co 34 "C, "C, "C; (-1)" "C, ,ne Nis equal to 10 14 (4n + 2) 2" n! 2"-n! () 3.5-7...(2n - 1)(2n +1)…

A: We have use binomial theorem  1-xn=nC0 - nC1 x + nC2 x2  + .........+(-1)n   nCn

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: 3) (n² + 10n+18) ÷ (n+ 5)

A: To divide the following expression.n2+10n+18÷n+5

Q: 15- (x + 5)lnxdx =? a) (-21/4) - 12In4 b)O (21/4) - 12ln2 (23/4) - 12ln4 d) O (-23/4) + 12ln2 e)…

A:

Q: 7. (a) (3x + 2)(1– 4x) (b) (4 – 5x)(5 + 6x) 8. (a) (2r + 7) (2r + 7) - (2r + 7) (2x + 7) (b) (3 –…

A: solving equation by multiplication:-

Q: Shapley value of each senior = (31 + 3(1/2 + 1/2 + 1))/5040 = 37/840 Shapley value of each junior =…

A: Sure, I can explain where the numbers 31 and 30 come from in the calculation of the Shapley values

Q: Solve for n if P(n,5)=120C(n,3)

A: The objective is to calculate the value of n, for which the following equation is…

Q: 67. (x + 1)(x + 1)(x - 1)(x - 1)

A: Rearrange (x+1)(x+1)(x-1)(x-1) as (x+1)(x-1)(x+1)(x-1) and then use the algebraic formula,…

Q: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

A:

Q: 35 + 5 (S-5)(5+)

A:

Q: Which of the following expressions is NOT equivalent 36 ? to x

A:

Q: 00 (2n +1)" n2n n=1

A:

Q: (1/(3-5)} + {1/(5-7)} + {1/(7 · 9))} +......+ 1/{(2n + 1)(2n + 3)} = (a) n/(2n + 3) (b) n/(2(2n +…

A:

Q: MPLETION. Fill-out the missing information on the table, perform the necessary operations. Show your…

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Why is (subtracting two positive numbers that are each less than 1), less than or equal to (1 minus…

A: Since r and s are both between 0 and 1  Then 1-r is positive and also 1+s is positive  Now , take…

Q: Find a formula for +(−1)n. (2). 1 1 ¹ – ²2 ( ² ) + ² ( 2 ) - -· ··- 1 n+1

A: To Find: A formula for .

Q: Question 7 A = {x: <. *} = v 2x-1 3 {x: - %3D 5 < 3x + 2} B = (10 a) Find ANB b) Illustrate your…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Q1) Find the value of the eighth term for the consequence after finding nth * terms 8, 4.5, (5/3),…

A: Sol:- Given,    8,4.5,53,5.512By fitting the first four terms of the givensequency by third degree…

Q: 2 the ratio of the sum of m and n terms of an AP is m*:n“ ,show th " is (2m – 1):(2n – 1) th that…

A:

Q: 1/(1-2) + 1/(2-3) + 1/(3 · 4) + ..... + 1/{n(n + 1)} (a) n(n+1) (b) n/(n + 1) (c) 2n/(n + 1) (d)…

A:

Q: I also found that the expression was divisible by 13 at n=6 and n=10. Is there anyway you could…

A: Any number n can be written in the form          n = 3m, or 3m+1, or 3m + 2 for some integer m.…

Q: Show that (n + 1)! > 2"+3, for n > 5.

A:

Q: 4. Find a number 8 >0 such that if Ix-10] < & then |(2x + 3)-23|< 0.25.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 8.) (x-16) (x+ 4)

A: Our Aim is to simplify the expression x2-16÷(x+4)-(i)

Q: 1/(1-2) + 1/(2-3) + 1/(3 · 4)+.....+ 1/{n(n + 1)} (a) n(n+1) (b) n/(n+1) (c) 2n/(n + 1) (d) 3n/(n+1)

A:

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

A:

Q: We perform an experiment and obtain N data points (X1,Y10), (x2,y20), (XN, YNO). Here the subscript…

A: Solution: From the given information, total error sum of squares is

Q: EC»(a-p)- = Ip + (1- p)" = 1" = 1.

A: