Use the summation operator (Σ) to simplify the following expressions (where X and Y are variables): i. 2x₁ + 2x₂ + ...2x5 ii. 3X₁Y₁ +3X₂Y₂ + ... 3XnYn

Q: 4. Ifx, = 60 and x = 90, find each of the following: %3D a. (x, - 7) b. Σx-7 C. (x, + 2) d. Ex # 60…

A: Since you have asked multiple questions we answer only question number 4.

Q: Evaluate the summation (2i - 1)? - i=1 155 162 165

A: Topic = Algebra

Q: n j=11 (j + 2)² = E first step 2nd step 3rd slep 4th slep final answer

A: The given summation,         ∑j=11nj+22

Q: Simplify the following equation (removing the summation symbols): 2a min(k-1,a) Σ Σ (b-k).…

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Q: 2 Σ 3. Multiply out Xi writing the result in summation notation. i=1

A: The given expression is                                       ∑xii=1n2

Q: The summation 2 i(i+1) is equivalent to -1 Select one: Oa. None of the choices is correct b. CE -1)…

A: Q.Sol .  Here we have to find out sum of ∑i=16 i i+1Recall : - i Sum of first n natural numbers is…

Q: R%33(-2k-11)

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Q: Use the properties of summation to evaluate:

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Q: n E(-2²+2i+2n² + 2n) = i=4

A: Here we will use the concept of summation of n numbers. We will use the formula of sum of n^2 and n…

Q: B. Simplify the following summations. 6k(k-1) 2. É+4 3. 2i-3i .4

A: (1) Given that ∑i=1k6kk-1n3. Here the variation is for i,…

Q: Sh Evaluate (30 – 6x) dA, where R = [0, 5] × [0, 3].

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Q: Evaluate the summation: 1(11)+2(2!)+3(3!)+...+t(t!); t=3

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Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: -+}- + 1 1 1 27 1 2) Write the sum using summation notation: 81 2. i = 1

A: Geometric progression

Q: Jse summation notation to express each of the following calculations. Add the scores and square the…

A: The option which is correct for the given set of expressions needs to be obtained.

Q: Q2: The following values are recorded for the variables x and y are: x, = 1.5, x,= 3.5, 13= 0.7, x4…

A: Given information: The bivariate data in terms of X and Y is provided as follows: i Xi Yi 1 1.5…

Q: Find a closed-form solution for the following summation: ∑0≤k≤n  (5 − k)

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Q: Compute double summation. Ei-o2}=3(2/+1 - 2) 5 Select one: a. 150 b. 200 C. 189 d. 190

A: Given summation is: ∑i=03∑j=352j+1-2i Fix value of one variable and vary other variable continue the…

Q: Write the following sum using summation notation, then evaluate the sum algebraically: [1−(1/10)^2]…

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Q: Write using summation notation:(>) 6 4 5 + + 3! 4! 5! 13 -+.. (12)! 3.

A: Given that, The series in term of summation notation is denoted by, Where an is the nth terms of…

Q: E7,(3k + 2°

A: To find:∑k=273k+2

Q: 12 34 8. +......+ 23 Write the sum using summation notation: 258 11

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Q: Use the summation formulas to rewrite the expression without the summation notation. 8i + 7 n2 i = 1…

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Q: Which is not true in the given summation notation? a. Σ( Xi+ Y + Zi) ΣXi +Σ Yi + ΣZi b. Σk Xi = kΣΧi…

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Q: Use summation notation to rewrite the following: 13 – 23 + 33 – 43 + 53. | 1 1 Use summation…

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Q: Expand the following summation notation and vice versa. X12+ X13+ X4+ x;5 1. 2 2. Σ(Χ-Y) |

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Q: a. Use the summation operator (Σ) to simplify the following expressions (where X and Y are…

A: Formula Used: ∑i=15Xi = X1+X2+X3+X4+X5 ∑i=1nXi = X1+X2+X3+X4+......................+Xn

Q: Write the following expression as a single summation in terms of k. W m ? k k+8 + m+1 = m+9 k = 1…

A: Summation is  ∑k=1m+1​k+8k​Explanation: to combine the given summation and the additional term into…

Q: Perform the following summation notation.

A: We have to solve the summation