n(n+1) 8 3-En-1 (n²+1) (n-1)

Q: If N=6+4+3+1+1/3N, then the value of N is?

A:

Q: ° cube of a binomial (V2x 4 5) (/2x-5)3

A: Consider the expression 2x+53. Obtain the cube of the polynomial 2x+53 as follows. Note that,…

Q: 2k + 1 k(k +1) k=1

A:

Q: (2n)! – (2n + 1)! (2n)!

A: It is required to find out , 2n! - 2n+1!2n!  For this we use factorial properties.

Q: 1 7 –1% = 1 -8 3. - n-8

A:

Q: (2+i)(1+3i) – 2+ 4i= 3i O 4+2i O 3+i O 3-i0

A:

Q: Which simplified choice will result in 200m20n15

A: Consider the following expression…

Q: 3) (n² + 10n+18) ÷ (n+ 5)

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

Q: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

Q: n + 3n

A:

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

A:

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 4x³ dp- x4 + 2

A: ∫4x3x4+2dxwe know tat ddx(x4+2)=4x3Use the common integral:  ∫1udu=lnu∫4x3x4+2dx=ln(x4+2)+C

Q: f Use the FOIL method to multiply the binomials. (3x+4)(4x+5) (3x+4)(4x+5)-(Simplify your answer)

A:

Q: Show that (a) 8n −3n is divisible by 5 for all natural numbers n.  (b) n2 −n +41 is odd for all…

A: expansion of (a+b)n = hco an bo + nc1 an-1 b1 +.......... +ncn ao b n

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

A:

Q: 16 n+ 3 2: Find the remainder when 5 + 2 (14!) is divided by 17.

A:

Q: 8+2z+6(z-1)

A: Given,

Q: Question 4 The graph below represents an arithmetic sequence. . 15 . 10 5 -5 -10 -15 -20 a 2 ● • 4 a…

A:

Q: n+1 n+3 n+ム ニ

A: To find the value of above infinite series first we will check the convergence of given series using…

Q: In

A: it is the telescopic sum

Q: What is the value of n?

A:

Q: Find 2(2k + 2). k-3 O 8+ 10+ 12 + 14 + 16+ 18; 78 8+ 10+ 12+ 14 + 16; 18 O 10+ 12 + 14 + 16+ 18; 8 O…

A: ∑k=38(2k+2)=(2×3+2)+(2×4+2)+(2×5+2)+(2×6+2)+(2×7+2)+(2×8+2)…

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

A: On solving this we will get

Q: 3[2+4(5+2*3)]

A:

Q: o 5 (10 - 2 3) + 8

A:

Q: Number of zeros at the end of 26!is, (a) 5 (b) 6 (c) 7 (d) 8

A: .

Q: Use the Binomial Theorem to expand and simplify the expression 2(x- 3)4 + 5(x - 3)² Select one: O a.…

A:

Q: 2) (n²-n-29) (n-6)

A: Please refer to the image below

Q: 1+5×2+(1+3)

A: Given 1+5×2+(1+3)

Q: 2(n-3)+n(2-n)=2-n2

A:

Q: 3/2+8(1)

A: Solve the expression as follows.

Q: -n 2n+5

A: We have given a series.

Q: +3 dx 82x +3 (A) 2in(8) +C 82x +3 B +C In(8)2 82x+3 + C In(64) 42x +3 In(8) D - + C

A:

Q: a)(6n2– 3n + 9) - (n² + 3n – 5) b) (15a – 3w + 7) – 2(2a – 9) + (3w – 15a)

A: a) Given:         6n2-3n+9-n2+3n-5       =6n2-3n+9-n2-3n+5 combine like terms…

Q: Assume that Vxdy P (x, y) is false and that the domalh nonempty. Which of the following must also be…

A: