Evaluate the sums 15 (i3 – i) i=1

Q: Use the formula n(n +1)(2n + 1) 6 r=1 to compute the sum 20 S= Σ. r=1

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Q: Evaluate the sums (i? + 3)

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Q: 53 Compute for the sum. Answer directly. Lady M 3 2 ΣΣ; i=1j=0 ζω

A: Solution

Q: 43 Compute for the sum. Answer directly. 2 3 ΣΣ11;3 i=0j=0

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Q: Compute the sums below. (Assume that the terms in the first sum are conssecutive terms of an…

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Q: Use sigma notation to write the sum.

A: To find the sum: ∑i=1248 Solution: ∑i=1248 On simplifying further we get: ∑i=1248=8∑i=1241=8(24)…

Q: 2) Evaluate the sums (5 pts a, 7 pts b) 20 S(i? + 3) i=1 15 (i3 – i)

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Q: Compute the following sum: 4· 3i = 4. 32 + 4.33 + ..+ 4·3" %3D i%3D2

A: We need to evaluate the series ∑i=2n4.3i=4.32+4.33+....+4.3n Now, we can take the summation from i=2…

Q: 29. Calculate the sums: 4 ( a) Σ ( Φ) Σ4 (c) k3 k=2 i=1 i=0

A: Here a=9 and n= 5 Therefore,

Q: Use the formula n(n+ 1)(2n + 1) 6 to compute the sum 20 S= 2r*. r=1

A: we are given the series ∑r=1nr2=n(n+1)(2n+1)6

Q: Evaluate the sums

A: Given:

Q: Use sigma notation to write the sum. 9 9 9 + + + 2 + 1 2 + 2 2 + 3 2 + 12 Σ i = 1 + al+

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Q: Use sigma notation to write the sum. 5 4 [(² n 5 4 ² ] ( ² ) + ... + [( ² ) n n n - 4n 4 AD (17) n

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Q: Use the rules for sums of powers of integers to compute the sum. 19 Σ 4.² k=6

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Q: Use sigma notation to write the sum. 1 +. +. 9(1) 9(2) 9(3) 9(11) 11 Σ i = 1

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Q: Find the sum. i-1

A: We can. easily found sum.

Q: 5 Compute the sum: 3n

A: Take 3 out of the summation and the use the formula for sum of n natural numbers.

Q: Evaluate the following sums. 150 Σ 2(4i + 2) i=1

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Q: Write the terms of the following sums. 6. (i³+1)) i=0

A: To write the terms of the following sums.∑i=0612⋅i3+1

Q: Compute the value of each of these sums. 4 3 (a) ΣΣ-2 ) (b ΣΣυ i=1 j=1 i=1 j=1

A: We have to compute the value of the given sums. The details calculation is given below.

Q: Write the series using summation notation. -3 + 4 - 5+6-7 Σ i i=1

A: Given series is Let the nth term of the series is  then, In general, for n=1,2,3,4,5, we have

Q: 1 (i) n! n=1

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Q: Evaluate the sums

A: Given that ∑k=15k3k+5. Compute the sum as follows.

Q: Evaluate the following sums. 30 [4(i + 1) – 2] i=1

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Q: k-1 > kek i=1

A: We have to solve given problem:

Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

Q: Use the rules for sums of powers of integers to compute the sum. 22 [² j=8

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Q: Let bi 8, b2 = 4, b3 = 7, and b. = -5. Calculate the following sums. (Use symbolic notation and…

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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 the indicated sum. i! Σ (i- 1)! i= 4 8 i! Σ (i- 1)! i= 4

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Q: Find the sum. 13 + (-1) i = 1

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Q: O Find mLABc 14° the Sum of the interi

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Q: Use the rules for sums of powers of integers to compute the sum. 24 4.² k=8

A: Recall: sum of squares of n integer                    ∑i=1ni2=n(n+1)(2n+1)6

Q: Find the following sum:

A: we have to find the sum of the given series. ∑i=130(6i-11)

Q: [5 a = 1 b = [308] Calculate the following products and sums or give reasons why they are not…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Calculate the sum from k=0 to infinity (2/pi)^k

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Q: 1. Compute the value of each of these sums. Show the process of computation. 40 60 60 20 80 (a) (b)…

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Q: Evaluate the sums

A: Given that: ∑k=15k3225+∑k=15k3…

Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an ar + (-…

A: Given: - The sequence is, 7+5+3+......+(-263)=∑k=1119(3k+1)= To compute: - The sums below. (Assume…

Q: (c) Express the sums in closed form n-1 3k and k=1

A: Given, ∑k=1n3kn    and  ∑k=1nk3n2   We have to evaluate the sum

Q: 8. Evaluate the following sums: 120 (b) i(i-5) i%3 50 (c) (2i– 1)(2i +1)

A: First  split the summation part then use the formula of summation  to get the final result

Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ; j=5

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Q: Rewrite the following as a single sum: 12 12 E (3k – 9) + 3D (ho – 3) + 8 k=2 k=8 k=2 i=1

A: First, we try to write it as one sum.…

Q: Compute the following sums. 'n-1 a. Σ = Σ=6(8i + 4j) η b. Σ 14+2 j=1 c. Σ=12=14 -2 {n-1

A: We know that ,  A series is defined as the sum of the elements of a sequence. Generally series is of…

Q: Use the approach on Gauss's problem to find the following sums of arithmetic sequences…

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Q: 1 %3D the result to find the sums for n = 10, 100, 10

A: The expression given is, ∑i=1n4i+3n2 Write the expression in summation form. Apply the summation…

Q: Express the following sums using sigma notation. a. 4+5+6+7+8 b. 8+16+24+32 +40 +48 c. 15 +25 +35 +4

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Q: 2. Use the Geometric Sum Formula to do the following. (a) Evaluate 1 +3+3² +3³ + · ·.+310. (b) (Part…

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Q: Use linearity and formulas (3)–(5) to rewrite and evaluate the sums.

A: Consider the function and find linearity.