Calculate the sum of the series 7 + ++ +

Q: 16. Find the sum of the infinite series 3 2 10 3 7 2 10 10 10 10 10 10 3 7 10 10°

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Q: Evaluate the sum of the infinite series 2 S = 2 – + 3 9 2 + 27

A: Given sequence  Take 2 common  Then the sequence becomes GP with  a = 1 and r = -1/3 Sum of infinite…

Q: Find the partial sum of the first 40 terms of this arithmetic series: 24 + 20 + 16 + ..

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Q: 2 Find the first five terms of a power series for 4 - 3x

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

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: Evaluate the infinite geometric series. 4 – 2+1-+.. 0 3 2/3 O 8/3 O no sum

A: Given, the infinite geometric series,4 - 2 + 1 - 12 + ................................∞a = 4, r =…

Q: Find the sum of the series. 97 8 n!

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Q: Find the sum of the series    8+ 64/2+ 512/3! + 4096/4!

A: This question is based on power series.

Q: Find sum of series 9/(4n-3)(4n+3)

A: The given series is 9(4n-3)(4n+3) We have to find the sum of the series. That is…

Q: Find the sum of 10th term of the series (1) + (5+5) + (5 +5 +5°) + (5 + 5° + 5 + 5° +5°) +..

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Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: Find the sum of the series.

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Q: Find the sum of the series. 5(-1)^²n +1 Σ 62n + 1(2n + 1)! n = 0 62n +

A: The sum is evaluated below.

Q: Find the Sum of the Series 는 - 논(는,늘(는)` - 음은)

A:

Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: expand 1/(1+x)^1/4 as a power series

A:

Q: Find 21st term of series 13,16,19

A: Given problem:- Find 21st term of series 13,16,19

Q: series 4/(4n-1)(4n+

A: Find sum of series 4/(4n-1)(4n+1)

Q: Find the sum of n terms of the series 1.24 +2.3 +3.4 +..

A:

Q: Find the sum of the telescoping series k=1

A: Given telescopic series:

Q: Calculate the sum of the infinite series S••=5-3+9/5-… •• means infinity symbol

A: Sum of infinite geometrical series with first term a and common ratio r is given as S = a/(1-r)

Q: Determine the sum of the series 9. п(п + 2) n=1 8

A: First step is to break down the denominator in multiplication form to addition or subtraction form…

Q: Find the 30th term of the series 4,5,9,14, ...

A:

Q: 2 1. Find the sum of this telescoping series n(n+ 1)

A:

Q: 1 Σ ak-1 k(k+ 1)(k + 2)

A: Given: ∑k=1∞1k(k+1)(k+2)

Q: Find the sum of the series.

A: The series starts from the term n = 4 , since all the terms of the series are positive.

Q: Find the sum of the series 1−0,37+0,372 −0,373+…

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Q: Find the sum of the first 20 terms of the series 3+13+23

A:

Q: Find 51 term of series 4,8,12,16..

A: The given sequence is 4,8,12,16... To find 51th term

Q: Find the sum of the series. 8. (-1)" n = 0 5 n!

A: Solve by series sum

Q: Find the sum of the series. Σ 62n + 1, 5(-1)^72n + 1 1(2n + 1)! n = 0 8

A: According to the given information, it is required to determine the sum of series.

Q: Find 60 term of an A.P series 12,16,20..

A: The objective is to find  60 term of an A.P series 12,16,20..

Q: Find the sum of the series 18 54 2+ 5 +... (if it exists). If the sum 125 - 25 does not exist,…

A: I am attaching image so that you understand each and every step.

Q: Determine the sum of the telescoping series:

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Q: 3-3(슈) + 3 (솎)2 - 3 (슈):…

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Q: Find the sum of the series 3(22+1)

A: Given series is -

Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

A: The given series is 9+2-5-12-19-... This is arithmetic series, such that First term a=9 Common…

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

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Q: Evaluate the series: 21C0 – 21C3 + 21C6- – ... – 21C5 + 21C18 – 21C21

A: Solution is given below:

Q: Find the sum of the series 2 2 n= 1 'n+1 'n+ 2

A: To find the sum of given series.

Q: Find the exact sum of the series 1 - 1 + (1/2!) - (1/3!) + (1/4!) - (1/5!) + (1/6!) - ...

A: Topic:- sequence and series

Q: Find the sum of the series 12 22

A:

Q: evaluate the geometric series 1-2+4-8, ..., n=8

A: The given geometric series is 1-2+4-8,,,,,, n=8

Q: Find the sum of the series. s 7(-1)"72n + 2n + 1(2n + 1)! 00 Σ n = 0

A:

Q: Find the sum of the infinite series: 1/3, 1/27, 1/243...

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

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Q: Calculate the sum of the series ∞∑k=01(2k+1)2.

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Q: -2 2 ntl nt2 n=2

A: Given