128 128 suppose that Σ α = -3 and b₁ = 3. Compute the sum. i=1 i=1 128 Σ( - 17a; - 12b;) i=1

Q: (2.3³ +3.2¹) j=0

A:

Q: 100 (e) Σ199 2i(i3 – 1) i=1

A: To find the sum of- ∑i=11002i(i3-1)

Q: -1)*+1 Ln=1 ¯n•I0* O error| < 2 × 10 -6 O error| < 2.5 × 10-6 O error| < 2.5 × 10–5 O error| < 10-5

A: Given: ∑n=1∞-1n+1n.10n. All the options have 6th term expanded. Therefore, we will check for , n=6.…

Q: 100 How many solutions to the equation E Xx=3 k =1 have the property that each summand X, is a…

A: Number of solutions: The number of non-negative integer solutions to the equation are . Given:

Q: Find the sum. Σn=0 100 (-1)ne2n 32n (2n)!

A: Step 1:

Q: If x1=-1, X2=1, Xn=3X(n-1)-2X(n-2), Vn23. Find the general term Xn

A: The given recurrence relation is

Q: The fifth term in the sum 10 Σε k 3 k=3 is 83 53 63 73

A:

Q: n? - n 5" n=1

A:

Q: 7. Evaluate: 100 Σ i=60 8. Convert i n logs i=1 into an expression involving sigma notation and find…

A:

Q: 106 106 suppose that Σ ai = -24 and Σ bi = -13. Compute the sum. i=1 i=1 106 Σ( – 21a; + 6b;) i=1…

A:

Q: 136 136 suppose that Σ ai = -15 and Σ b; = -19. Compute the sum. i=] i=1 136 Σ i=1 - – 11α; – 29b;)

A:

Q: Shift the index so the sum starts at 0: 2 1. Σ% -13/1 3k 5 2. [ k=1 k(k+1)

A: 1.  Given,       ∑k=-1∞ 23k

Q: (a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at…

A: The given problem is to find the solution for the given partial differential equation with given…

Q: 81 81 Suppose that a₁ = 24 and b₁ = 30. Compute the sum. Σ i=1 i=1 81 Σ (6a; +23b₂) i=1

A:

Q: 60 Find the sum. (3i + 5) i=1

A: To find the sum of 3i+5 where i running from 1 to 60 First we expand the series and we can add the…

Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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Q: 2x - 10 K x+ 1

A:

Q: - Find N, where M=(5, 9, -3) and MN = -3[2,3,4]

A:

Q: n E(等 k+3 n2 1 k=1

A: Summation of series

Q: Transform the following sum by making the change of variable j =i-3. Here, n23 is an integer. 2 – 4i…

A: We use the given relationship between i and j to transform the given sum.

Q: Let Sn = n Σ k-1 √k Estimate how many terms are required before sn ≥ 100.

A: We shall be using basic inequalities to solve this problem.

Q: Σeksin (2-k)

A: The given equation is as follows:∑eksin(2−k) There is no unique solution to the given problem…

Q: 3. 09 0-16

A: Given determinant is : -1-263 To find the value of determinant.

Q: Choose all those that represent the sum 5+7+9+11+13+...+101. 101 Σκ k = 5 50 E (2K+ 1) j = 2 50 Σ…

A: We have to find the correct representation of the sum 5+7+9+11+13+⋯+101

Q: Find m if m is not zero, and 3/21 = 8/m

A:

Q: 2n+2 – 3" Σ - 2. Determine 6n+1 n=0

A: To find: ∑n=0∞2n+2-3n6n+1

Q: Follow

A: Here, we have to find the index so that sum starts at 0. We substitute the value in given sum.

Q: Rewrite the summation by separating off the final term. n+1 Σ m(m + 1) = m = 1 ??? V m = 1 m(m + 1)…

A:

Q: n Find Σ(2-²k +3k²) in terms of n . k=5

A:

Q: Question 67 Find the sum (4z2 - 5z) + (2z° - z2 + 3z) A. 6z3 - 6z B. 6z - z2 - 2z C. 2z3 + 3z2 - 8z…

A:

Q: Prove n 2 2n 1 k = n k - 1 n k=1

A: Binomial Theorem: According to the binomial theorem, let x and y are any two numbers. Then it is…

Q: Evaluate the sum k(4k+5). 9 9 Σk(4k+5) = k=1 (Simplify your answer.)

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Q: 134 Σ (14η – 3) n=1

A:

Q: d2y

A:

Q: Select the mathematical expression that is equivalent to the sum -n-2 2j+1 a. Σ= 2* b. Σ= 2*+1 C.…

A:

Q: 2j first step. Write your ΣΣ- answer in 8. j=0 k=0 second step. Write your answer in 9. final…

A: