n(n+1) 8 3-En-1 (n²+1) (n-1)

Q: Given that the expression (n²+n+1) n! can be written as a(n + 2)! + b(n + 1)! + cn! where a, b, c…

A: The main objective is to find the sum value.

Q: а (x²*) = dx

A:

Q: limn0 In(2n-3) -) is 8. n+5 Select one: 2 non of them

A:

Q: 1. (2Y²-6) (2Y+9)

A:

Q: (2)(3+1) de (22+22+3)* (3)

A: NOTE: ACCORDING TO BARTLEBY GUIDELINES, SOLUTION OF FIRST QUESTION WILL BE PROVIDED.

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

A:

Q: 16s? +37s - 30 Determine L (s+2)2(s – 3)

A:

Q: (2n)! – (2n + 1)! (2n)!

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

Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: Expand and simplify. (8h +3) (7h² – 4h+1) - O 56h3 – 32h² + 8h + 3 - O 56h3 – 11h? 4h + 3 O 56h3 +…

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: 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: Which examples illustrate that a trinomial can be the product of two binomials? (Select all that…

A:

Q: 27x - 4 Evaluate (5x - 2)(2 +3) |

A: Follow the steps.

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

A: Given,

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

A:

Q: 7(z+2)=2(z+3)

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

Q: (b) Show that 1 11 2 k(k + 2)(k + 4) 96 k=1

A: Given series is ∑k=1∞1kk+2k+4

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: For each natural aumber a, the sum 1(2) + 2(3) ++ R(n + 1) is equal ta None of the choices This…

A:

Q: 1+2 - 2x2 + (P₁ +P+1) 2"

A:

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

A: On solving this we will get

Q: um 1+4+7+..

A:

Q: k(z - a)*-1 +0((k +1)(z - a)*) (2 - a)k + O((z - a)k+1)

A: =z-akkz-a-1+Ok+1z-ak1+Oz-a

Q: 1. Let the following higher order differential equation y" – 2y"- 3y = 3 e (1). Determine the…

A:

Q: Polynomial - Addition & Subtraction Simplify each expression. 1) (6v4 + 3v) + (7v4+2+5v) 3) (4x² -…

A: if there's any problem, plz make a clarification request. Step 2: Step 3: Step 4:

Q: 2 (20 x 8) + 2(20 x 3) + 2(8 x 3)

A:

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.