Find the average of the given series  12+22+32+42+52+62+72

Q: [C] By constructing a difference table and taking the second order differences as constant; find the…

A: Here given series is 8,12,19,29,42,....  we have to find 6th term and given that second   order…

Q: Test Ror Conver gence the Series n+3

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Q: Evaluate the series or state that it diverges. 38 Σ[3] [4]] + 4 9 k=1 Select the correct choice…

A: We have to find sum

Q: 1. What is a(1) in the following series? 33, 36, 39, 42

A: Given data: The second term of the given series is a2=33. The third term of the given series is…

Q: From the given series , find the 34th term  34,62,90,118

A:

Q: Evaluate the series or state that it diverges. k 3 (8 6. k= 1 9.

A: The common ratio of the first part is 1/7 and the common ratio of the second part is 8/9 Both are…

Q: Find the sum of the arithmetic series: 12 + 8 + 4 + ... + (-20).

A: Let's find.

Q: What is the sum of this series?  20/3 + 10/3 + 10/6 + 10/12 + 10/24 + 10/48 + 10/96+...

A: We have to find the sum of the series

Q: n= 10, a,= 41, S,= 230

A:

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

A: This question is based on power series.

Q: Evaluate the series ∑∞ n=1( (2^(2n+1) − 3)/ 5^n)

A:

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: Given: 1)Customer have to choose any 5 samples of pastries from 12 different samples. 2)Customer…

Q: Find the sum of the series. 8. Σ 3(-1)"72n + 1 22n + 1(2n + 1)! TC

A: Formula: The power series about of a function about is, Given:

Q: Find the sum of the series. 2* + 1.3 2.32 3.33 4.3* 2 22 23

A: Sum of the series, using maclaurain Series expansion

Q: Find the sum of the series. 23 25 27 3 33.3! 35.5! 37.7!

A: Expansion of sin(x)

Q: Find the sum of the finite series 9 + 18 + 36 + ·… +1152? .. O 2529 O 2592 O 2259 O 2295

A:

Q: Find the sum of the first 35 terms of the series 6 + 11 + 16 + 21 +

A: Sum of the n terms of AP: S = n/2 (2a +(n-1)d) Here a = 6 , d = 5 , n = 35

Q: Determine the sum of the arithmetic series 5 + 18 +31 +44 + ... 161

A: The given arithmetic series 5+18+31+44+...+161.We need to find the sum of the above arithmetic…

Q: Find the sum of the series. 7(-1)",2n 2n + 1, + 1 1(2n + 1)! 8

A: Given: ∑n=0∞7-1nπ2n+132n+12n+1!

Q: 14. 1+5+9+...+ 157

A:

Q: 6. Find the sum of the series A = 5, 3, 1, ..., –11

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

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Q: Find the sum of the series S. 2 - 2 In(6) + 2 (In(6))² - 2 (In(6)) 21 ² . 3! S = 7.

A: A detailed solution is given below

Q: The first four terms of sequences A, B, C and D are shown in the table. 2nd term 3rd term 4th term…

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Q: Find the sum of the series 1/3+1/9+1/27+1/81

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Q: Find the Sum ciP any) of the series 76 27 81

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Q: Consider the series 4 + 8 + 16 + 32 + … + 1024.  a) Determine the number of terms. b) Determine…

A: Consider the series 4 + 8 + 16 + 32 + … + 1024.  a) Determine the number of terms. b) Determine the…

Q: Find the sum of the infinite series 1=27. +¹ 2.43.8 +++ 4.16 5.32 6.64 7 128 7+128 8.256 I tried the…

A: Introduction: The convergence of an infinite series follow the linear property. The sum of two…

Q: Find the sum of the series: Σ (n + 7)(n + 5) n=1 II 8

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Q: Write the given series in 3-+- 3 +. 4 8

A: Given series forms infinite term of geometrical series

Q: Find the sum of 20 terms of the given series 2,4,6,8

A:

Q: Find the sum of the series S. 3 - 3 In(3) + 3 (In(3))² - 3 (In(3))² ... 2! 3! S =|| !!

A: Sum of series

Q: Find the sum of the arithmetic series : 9/2+7/2+5/2+3/2+......

A:

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

A: Solution is given below:

Q: Check whether 301 is a term of the given series 5,11,17,23

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Q: Test Ror Conver gence the Series

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Q: Find the sum of n terms of the series 1.22 +2.32 +3.42 +.

A: Use standard formula of summation

Q: Find the sum of the infinite series. 22 - 37 37. 52 52 - 67 +.. 7. 22 (Use symbolic notation and…

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Q: Find the sum of the infinite series 2, 3, 7, 2 102 3 10 103 104 105 106 107 3 + .. 10° 108

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Q: Help fast please

A: A sequence is a set of numbers a1,a2,a3,... that has a particular order or obeys a general form. If…

Q: 1. Find the next two numbers of the followin series: a) 31, 28, 31, 30, 31 b) 1, 2, 4, 7, 11 c) 3,…

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Q: 6th term of the series 12, 13, 17, ..

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Q: Determine the sum of the series 1-+. 3 9 27 81

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

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 S. 3 - 3 In(6) + 3 (In(6))² 2! 3 (In(6)) 3 3! S =

A:

Q: 8. Н.W Evaluate each series. 4 (n-3)² 1) n=3

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Q: Evaluate the series E-3 3*2k+1, 4,030,992 2,050,481 8,061,884 1,025,240 16,123,768 а. b. с. d. е.

A: See solution below