For n 2 3, the series 2+4+6+..+ 4(n) can be equivalent to .. ...... OA. n? +3 B. n +1 C. 3n2 + 4 OD. n"

Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10 The sum of the series 5 – 3 40 + ... is 27 20 9. Select one: а. b. С. d.

A: Given s=5-(10/3)+(20/9)-(40/27)+.......

Q: n(n+1)(2n+1) Prove: 12 + 22 + 3² + ... +n? for all positive integers, n.

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

A: The given sequence is 2+6+10+... +2(2n–1).

Q: Q.7) In a party 25 people shake hands to each other (only once). How many n(n-1) handshakes will…

A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: (22) Prove: Sn: 1 ² + 2 ² + 3² + ... + n² = n(n+₁) (2nti) neN

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Q: For how many values of n is the sum 1 + 2 + · • + n not divisible by n if 1 ≤ n < 100?

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Q: ctorization ual to:

A: Algorithm: Start Read i, j values Initialize sum to 0 Iterate through the loop from n=i to n=j In…

Q: Which of the following is the correct expression for the sum below? 8 2 (k – 3) k=2 Select the…

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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: 5. Find the sum of the first 10 terms of An, where 1, and a2 an 2aп-1 + an-2, а1 %3D %3D = 1.

A:

Q: (a) Place the digits 7, 9, 10, 11, and 12 in the circles to make the sums across and vertically…

A: The digits 7, 9, 10, 11, and 12 are given.a) Arrange the numbers such that the horizontal (the sum…

Q: a. Use the formula S, = (a, + a„) to show that the sum 1, 3, 5, .. (2n – 1) = n2. b. Find the sum of…

A: a. Given formula is: Here n is the number of terms and a1 and an are the first and last terms of…

Q: Find the sum 1 9k2 + 12k – 5 k=1 Express your answer as a rational expression in terms of n.

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Q: II (1-) п+1 (for n > 2). 2n i=2

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Q: Proposition. For all a, ne Z with n> 2, if a =4n 3n, then a =, 0.

A: To prove - For all a, n ∈ ℤ with n ≥ 2, if a ≡4n 3n, then a ≡n 0

Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: The value of the sum E (- ) is given Zk=4 by: Select one: O a. 3 O b. O c. None of these O d. 1

A: Given :                 ∑k=4∞ 1k-3-1k-1 To find :                      The value of sum of given…

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: Given that 1+ 2+3+..+n = n(n+1) 2 , then the sum 50 + 51 + 52+...+ 70 =

A: Given  1+2+3+…+n=nn+12

Q: cn² Let c be a nonzero real number and am Which one of the following statements is correct? 26п? —…

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Q: 8] n=1 1 5n2 + 5n

A: To Find: The sum ∑n=1∞15n2+5n

Q: n(n+1) for all n EN, • Given that 1+ 2 +3+..+n = the sum 70 + 71+72 + .+ 100 = 2

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Q: What is the sum of 1/4 + 2/4 + 3/4 + 1 + 1 1/4 +… + 9 1/4 + 9 2/4 + 9 3/4 + 10?

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Q: 9. Investigate: 1 = 1 1+3 = 4 1+3+5 = 9 1+3+5+7 = 16 1+3+5+7+ 9 = 25 a. What is the value of 1+ 3 +5…

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Q: (1+i)²n n! n=0 evaluate

A: The function ex has the expansion ex=∑n=0∞xnn!. The complex number eix=cos x+i sin x.  This is…

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

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Q: 3. WRite 6+11+16+21 +26731+36+41 in summation notation. @M (SK+1) O (K+) (SK+6)D (K+5) E None of…

A: