Which of the following is equal to this sum: 2Σ 8k2- k) -4 Σ (-k+1) k = 1 k 1 (6K2 - 2k + 4) a. k = 1 b. k = 1 E (6k? - 3k - 7) (6k? +2k - 4) Oc. k =1 M(-9k2 +7k +6) O d. k = 1

Q: 20. What is the value of the 4th term of the expansion of (y + 2z)°? 16y"z 448y 23 25628

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A: Given problem:-       To find:- Given series divergent or convergent and find its sum

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Q: #2

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A: Introduction :

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A: Clearly the series is an Alternating series,since  the terms are changing its sign.

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A: Explanation of the answer is as follows

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Q: Find only 4 terms for the summation: e2xn 2o n2+1 1)

A: Corresponding to each 'n' we have a term.

Q: Q1: Find the sum of the following series: 1 1. 2. 2 (4n – 3)(4n + 1) e2x - n=1 n=0

A: A detailed solution is given below.

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A: Solution

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Q: 80 Sn 168 6x (3n+4)(37 +7) H.w: find the summation ef the Series 1. 6X8X10 8X10X12 4. find - H.w:…

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A: We have to solve given problem:

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

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A: The answer is given as follows

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A: Given query is to find that statement is true or false.

Q: Select all of the following that are equivalent to >(2) +> (3k + 1)? k=0 k=0 п+1 A. O) (3k + 3) k=0…

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A: Series

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Q: Suppose m=nd where n is odd and 1<n<m. Prove that 2m+1 is composite.

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Q: By writing the summation of the two power seriesE 2nc, x"+ E 6c,x* 0, we obtain: Ze + o[2(k + 1)ces…

A: We have: ∑n=1∞2ncnxn-1+∑n=1∞6ncnxn+1=0...(1)

Q: 3 is 1- x2 A power series representation for Σ x3n for |æ| 3x" for |x| < 1 n=0 a.

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Q: Find the sum of the following: 1 Σ 5n² +5n n=1 a. b. n=1 3+2-1 4n

A: a) ∑n=1∞15n2+5nb) ∑n=1∞3+2n-14n series converges: The series  ∑n=1∞an converges to k, then the…

Q: Σ - 2 and n=1 I bn = 9 and a1 - 8 and bi = 4 , find the sum of the Suppose that An n=1 series: E…

A: Given data are, a1 = -8     b1= 4∑n=1∞an = -2∑n=1∞bn = 9

Q: For n EN, Dn = n! n k=0 (-1)k k! Thus, Dn n!

A: Explanation of the answer is as follows

Q: 5n+7 Find supremum of A :|n E N 4n+12

A: Given set isℝ A = 5n+74n+12 | n∈ℕ We know that a number u is the supremum of a nonempty subset S of…

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A: The solution of the differential equation is given below.

Q: Q.20) If ef(x) = 3x² +4, then f'(x) = a) 3x² b) e-f 3x²+4 3n 71 tements applies to the series En-1…

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Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1