x + 9x² 27x³ 81x4 + + 5 7 9 A. Un = B. Un = C. Un = D. Un = The general term un for the series is 3x" n+2 (3x)n n+2 3xn-1 + 2n-1 (3x)" 2n+1

Q: Find the first three terms of the expansion (4 – 2x)³.

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Q: Determine the sum of the series n² +2n n=1 Write your answer as a numerical value in decimal form.

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Q: Use a formula to find the sum of the series 4 16807 4 꼭 + 4 4 + 343 + 2101 + 4 + ... 49

A: sum of geometric series is   = a/(1-r)

Q: Using a binomial approach, find the sum S given by n+1 S="C₁ + "+¹C₁ + "+2² C₂+...+ "*C,

A: Here we can use the following formula to find the sum nCr+nCr+1=n+1Cr+1and nC0=1

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Q: Express the sum 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 usingdouble-summation notation.

A: Given: 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 We can write it as,…

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A: Given series is

Q: nd the following sum: 2 + 4 + 6 + 8 + ... + 88 using Gauss' method. Show all ste

A: To find the below sum using the Gauss' method. 2+4+6+8+...+88

Q: For the sequence an

A: Given, the sequence      an=2(an-1-2), and a1=1

Q: use Series to evaluate メ (1- 2x)²

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Q: Find the sum of the series -1 -1 -1+ 4 +...+ 16 ++ 4-1

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Q: Find the sum of the infinite geometric series. Σ19 (3)*-1 27 2 Ο -27 Ο -26 Ο -31 ●

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Q: 1. Write 6x5 1+x6 as a power series.

A: To write given function as power series.

Q: Evaluate the series 8 2 (3n – 4) n=1 O Campfire Mocha -1 76 20

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Find the sums of the series

A: Given that ∑n=1∞(-1)n34n We need to find the sum of the series. By looking at the series it seems to…

Q: 3. Find the sum of the series Σ (-1)* (4n + 4) (2n + 1) n=1 by first finding the sum Σ (-1)* x4n+4…

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Q: Write each summation as a series. (1 –2)(1+2) D-0-0-0-01-D-0

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Q: n-3 (- 1)"() 64 Find the sum of the series: 2n +1 n=0

A: To simplify the given series, rewrite the numerator in powers of 2.…

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Q: I need help :(

A: We have to find the sum of the series ∑n=0∞ 5-1nπ2n+132n+12n+1!. For this, we have to write the…

Q: 00 67+2 7n-1 n=1

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

A: To Find: The sum ∑n=1∞15n2+5n

Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

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Q: n=1 3+2n-1 4n

A: Topic- sum of a geometric series S∞=a1-ra=first termr=common ratio

Q: Consider the vector field F = Is this vector field Conservative? Conservative lá (6x + 4y, 4x + 3y).…

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Q: Find the Sum of the series (눈 k²+3K

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Q: X/n where n ={1,2,3,4,5,6, } find the smallest X so that you will get remainder n-1 ....

A: To find the smallest X which when divided by a set of numbers n will yield a particular remainder,…

Q: Find the sum of each finite series. (2n-1) 22. (3n+2) 23. -2

A: