1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 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: Find the sum.

A: Given: Let y=∑k=09-12k+1 To Find: The value of given sum

Q: Σ The value of the sum: + 2n is k=1

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Q: Examine the Conueagene the series 2. -2 3 1 4 2. 34 3.

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Q: 2. Find the general term of the sequence: 2'5 3- 2n 3n-1 3n a. C. d. b.

A: By assuming the values of n and checking with options we will get the answer

Q: Find the formula of the general term an of the sequence: 2 6 24 120 1. 4 '9'16 ' 25

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Q: Evaluate the sum: 2k), for n=21. k = 1

A: We can find the answer as below.

Q: What is the formula for the following summation? (c) n=1 c(n) Option 1 Option 2 n(n + 1) n(n + 1)(2n…

A: It is Ap series

Q: * (-1)" n=0 3n + 1 8.5.10. Find the sum

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Q: 3 The value of the sum: k is 225 k%3D1

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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: Find the value of the specified finite sum. n n 18) Given ak 4 and Σ bk = 9, findΣ ak- 2bk). k=1 k=1…

A: We can solve the finite sum by just putting the value that is given .

Q: Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

A: We have given a series ,  ∑n=0∞ (-1)n π2n9n 2n! We need to find the sum of series ,  ∑n=0∞ (-1)n…

Q: For Exercise, find the sum. 36 Σ2-5n) n=1

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Q: d n=0

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Q: given below, use the formula for the sum of the first n integers either to evaluate the sum or to…

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Q: 6) Find the sum N (N 1) N-

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Q: Simplify by comnbining the two sums and find an explicit formula. That is, your answer should not…

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Q: 3 9. 3 + 4 27 81 + + 64 Find the sum if it exists. * 16 Enter your answer

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Q: Find the sum, if it exists. 11 k Σ 13 k = 1 2/3

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Q: En(n+3) n=1

A: Given, ∑n=15nn+3   We have to find the sum

Q: Write an explicit formula for the sequence 14 19 8 29 9, 3'7'5'31 5 n+ 4 2"-1 9 n b. an 2" -1 5n +4…

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Q: Calculate the formula for the following sum (k+(k+1)+(k+2)+.....(k+n)

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Q: 10. Find the sum of the series 25 (a) 75 (b) 2 (c) (d) None of the above

A: We have to form a series which sum is 25/2

Q: What is the value of the sum n (*) n | 3"-k2k k k=0 6^n 9^n 5^n 1

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Q: Find the infinite sum generated by the following series: 4+1+ 4 16 ... 16 3. O O

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Q: Find the sum and express the answer in its lowest term. 3 =N 4 10 1) 9 3 2) + 13 6. 4 3) + + 7. 9.…

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Q: Compute the sum: n² – 3n – 1

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Q: 4. Apply the Sum Formula 1, 2 and 3 to find the sum for n = 13, 15 and 18.

A: The sum formula for n natural number is n(n+1)/2.

Q: Evaluate the finite sum, where N is a positive integer constant. k N4 k=1 100 N2 N + 1 2N3 O N N 2

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Q: Evaluate the sum from k=0 to 4 of ((-1)^k(k+3)^2+3)

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Q: Find the sum. 6 E k2 k = 1

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Q: 5. Find the sum: Σ n²+4n + 3

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Q: Q2-)Determine the sum of the following series: 4 1- 2n=1 (4n-3)(4n+1). 2- 2n=0

A: 1. We use partial fractions to find the sum of the given series. 2. We use the sum of geometric…

Q: Q.1 - Evaluate the sum indicated by the notation: 20 2 (k – 3)2 k=1

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Q: 2. Calculate the sum: 1 Σ k 1 k=3

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Q: 2 3 4 5 1'4 9 16 25

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Q: Find the sum 5 Σ (3n+2)(2n-1) n=3

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Q: Find the sum

A: The given expression is ∑k=14k2k-3

Q: A. What is the sum of the following: 1.

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 17. For the following arithmetic sum, find the n value in the summation notation. 4k + 2 = 576 k=1

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Q: Find the sum, if it exists, of Σ 2n+1 (n + 1)! n=0

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Q: 17. For the following arithmetic sum, find the n value in the summation notation. 4k +2 = 576

A: Solve the summation and form a quadratic equation than solve it.

Q: Find the sum, if it exists, of the series. 00 2 2.5(1.95)P+1 p=1

A: Given: ∑p=1∞2.51.95p+1 for finding given sum, first we simplify it  so,…

Q: Find the sum of the series G= 3+6+12+...+192

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12(5" (8") n=1

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Q: What is the closed-form expression for the series 2 (k+ 1)², k=1 13 n3 + B

A: First expand the squre  term and make it in standard format then use the formula of summation.