3. — 1/2 + 2/²/3 + 3 = 12 + 3.4 ...+ n(n+1) n (n+1)

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

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

Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: 2 n² + 2n Ε

A:

Q: So an = n 16 n+ 16 (n-1) 16 (n-1) + 16 = n - 16 n+ 16 I X 11 (n + 15) (n + 16)

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Q: +x Find dx. A. 7x+127+0 343 +C B. 7x2+x+C C. x² (7x+ ½²x²) − (7+x) (³½³×³) x4 D. -7x+In/x+C E.…

A: Step 1:Step 2: Step 3: Step 4:

Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

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Q: 8s - 16 (s² + s)(s² + 1),

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Q: 4.) -8n + 4(1 + 5n) %3 -бп — 14

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Q: 3. (E1.7-Q8) Find A², A-2, and A-k (where k is any integer). -6 0 0 0 0 30 0 5

A: To find , , and  (where  is any integer).

Q: +6n +3 is Θ (n)

A: 1st expression is TRUE

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: 00 8tan-in Zn=1 n3D1 1+n2

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Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

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Q: 3a + 46° – 5 = 3 (6) +4(2) – 5 ? ||

A: Solution: The objective is to calculate the value

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

A:

Q: 3 Which of the following expressions are equivalent to 6n2 +12n 18 (n+2) C 6n (n+2) 18n + 38 A 6n…

A: The addition(subtraction) between two like fractions can be done by adding(subtracting) the…

Q: 3 Check the box under the output column for the scenario where input is not equal to output for any…

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Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

A:

Q: (a). (n+2)! n! (b). 12C4

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

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

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

A:

Q: Simplify 17. (n+ild (n-1)! 18. (3n+1)! (an)!

A: For expression 17:(n+1)⋅n For expression 18:3n+1Explanation:For expression 17:(n−1)!(n+1)!​We can…

Q: 10 (S) (S+3)² = (3) (S+3) ²³ + K₂ (S+3) + K3+ K₁ (3+3)

A: The given equation is 10ss+32=k1ss+32+k2s+2s+32+k3+k4s+3 To find the value of k3 when s=-3 .   The…

Q: nv n=1

A:

Q: hich of the following expressions are equivalent to 2n 4n2 + 4n n+ 5 4n2 + 6n 10 (n+ 1) C 4n (n+1)…

A: given,

Q: Part 1. Obtain a solution to the following differential equation valid near the origin: 1.] For the…

A: Part 1. Given equation is y''+3xy'+7y=0   4. To Find: The recurrence relation for n≥2   5. To Find:…

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

A: On solving this we will get

Q: - Show that an = is monotone. n+2n+7 "}= •

A:

Q: Compute the Convolution of the following pairs of discrete time signals. x[n] = (u[n + 2] – u[n –…

A:

Q: Find L(3t + 13]. + 13 s2 13 (8-1)2 13 2 + 13

A:

Q: 18. Determine the antiderivative of f(x) = 3e2"csch(e2"). a. coth(e2") + C 3 coth(e²") + C с. 2 3 3…

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Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Which of the following is true? Select one: a. (n+1)= n(n) for any real number b. г(n) = n(n+1) for…

A: The objective of the question is to determine which of the given mathematical statements is true.

Q: 5. For n ≥ 1, establish the formula (2n + 1)² = (4tn + 1)² – (4tn)².

A:

Q: (n³+7n² +14n +3) (n+2)

A: We have to solve above question and find quotient

Q: 1.If 10C0+11C1+12C2+...+15C5+16C6 = 17Ck+1 then k = _____.

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Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

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Q: x/3+x/8+11/24

A: We have been given an algebraic expression and we need to simplify it.

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

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

A: