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: (뉴 + 3) 1 Find the sum (if any) for En=1 7n 5n

A:

Q: 5. Find the sum. 3A + 2B [1 -2 A = |0 -1 -1 2 1 2 and B = -3 2 [4 3 -61 -41

A: Here is the solution

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: 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: 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

Q: 64 Find the sum of the series 9 + 12 + 16 + + 2621 218

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Q: Find the sum of the series 3n-1 7n n=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,…

Q: Find the sum of the given k=4 10.2k+1 5k-3

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Q: 9-3+1

A:

Q: In the expansion of ( 2x – 3y )4, find the sum of the coefficients of all the terms.

A:

Q: For the sequence an

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

Q: Find the sum of coefficients in the expansion (2x+1)^3 (x+2y)^4. 2610 2817 2187 2160

A: We can solve the problem by expanding this and adding them

Q: Find the sum 80 Σ 5n = n=11

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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: Find the sum 70 Σ 2n Preview n=31

A:

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

A:

Q: 1. Arrange the terms of the dividend in descending powers x-3 ) 2x-3xe -x+ 4

A:

Q: 6. Algebraically find the sum 63 – 70 + 78 – 85 + 93 – 100 + + 2268 ...

A: Given: A finite series 63-70+78-85+93-100+...+2268 It can be observed that the series is of the form…

Q: Evalubte the Sum

A: See attached file for a step by step explanation to find the sum of the given series.

Q: Write the indicated term of each binomial expansion.

A: Given binomial expression is: m+n6 We have to find the 5th term of this binomial expression.

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

A:

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

A: To Find: The sum ∑n=1∞15n2+5n

Q: 3* 1. Calculate the sum (k – 1)! k=4

A:

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

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

Q: Find the QD and coeff. of QD of the series {5,9,20,35,40,3,10}

A: It is required to find the QD (quartile deviation) and the coeff. of QD (coefficient of quartile…

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

A: