Question 7 What is the sum? n+5 n2 +3n - 10 3n2 3n2 + 5n- 10 3n2(n-2) B. 23n2 +35n +50 3n2(n-2)(n +5) 5(n-2) n2-2 5(n+5) n(3n - 10)

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

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Q: Show that 1+2+3+...+n= ("""). (";"').

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Q: Sum the sum of 4+10+16+…+(6n-2)

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Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

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Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: What is the sum 1+2+4+8+...+512?

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Q: What is the sum of 5x + 3x-7 and 12x + 12? .2

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Q: 3) (n² + 10n+18) ÷ (n+ 5)

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

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: Can you help me prove this statement is true? (Discrete Math)   The "If n is even, then n^2 + 10n…

A:

Q: Rewrite 1/2(x-5) +1/4(x-5)2 +1/6(x-5)3  +1/8(x-5)4 using summation notation.

A:

Q: Find a Big-O estimate of (2n+n2)(n3+3n)

A: Given the given expression is 2n+n2n3+3n. Big-O notation: the fn is Ogn for positive constant C and…

Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

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: Find the sum of1/1 · 3 +1/3 · 5 +1/5 · 7 +··· .

A: The given series is, 11.3+13.5+15.7+..... Consider the first term, 11.3=12×1-12×1+1 Consider the…

Q: Is 12n + 18 equivalent to (2n + 6) (n + 3) ? True O False

A: Answer: True.

Q: use gauss's trick to determine R(n)=2+3+4+...+(n-1)+n+(n+1)

A: It is known that sum of first n numbers is n(n+1)2  that is  1+2+3+----+n=n(n+1)2 Gauss trick method…

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

A:

Q: 6. Algebraically find the sum 63 – 70 + 78 – 85 + 93 – 100 + + 2268 ...

A: Given: A finite series 63-70+78-85+93-100+...+2268 It can be observed that the series is of the form…

Q: How do I create a binomial situation using n = 5.

A: Given:- binomial distribution n=5   now, let X~Binn,p here n=5 in binomial distribution we calculate…

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: True or False: The summation 18+28+...+n8 is a polynomial of n of degree 8.

A: Given that the summation 18+28+...+n8. The objective is to check the statement " the summation…

Q: Use Gauss' trick to determine the sum 1+3 + 5 +... + (2n – 3) + (2n – 1) + (2n + 1

A: Gauss's trick is very significant in determining the sum of a series. This method includes the…

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

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Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

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Q: – 3t +2 (b) 24 (a) 15

A: Here we can use the following formula: 1. Lafx+bgx=aLfx+bLgx2.  Ltn=n!sn+1

Q: True or False. Briefly explain If p is odd prime then p divides 2p−1+(p−1)!.

A: Given: is an odd primeTo check:The prime divides  or not.Results used:Wilson's Theorem:For any…

Q: Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this…

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Q: an (b) Explain what it means to say that n=1

A: According to question,Given expression,∑n=1∞an = 12

Q: Use the approach in Gauss problem to find the sum of 8+17+26+35+...+890

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Q: Question 7 The arithmetic sequence below has a2=8 and 5= -31, 8,,,-31, ...

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Q: en = (-1)n-1((n+1)/n); n = 1, 2, 3, ... What are the first eight terms?

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Q: n(n + 1) 2 Use the formula S =- 1+ 2+ 3+ ... + 980 = to find the sum of 1 + 2 + 3 + ... + 980.

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.