What is the sum of the first 12 terms in the series shown beloW! 1.5 4.5 + 13.5 -40.5 +

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: 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: Approximate the sum of the series by using the first six terms.

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Q: Determine the sum of the following series. n-1 62 n=1

A: Given series is                                             ∑n=1∞(-2)n-16n also,…

Q: Find the sum of a geometric series with the given information. a1 = 32 , n = 8 , r = 1/2

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Q: Approximate the sum of the series by using the first six terms.

A: The term of a series is represented by the expression . The value of the term can be calculated by…

Q: 1 1- 3 7

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Q: What is the sum of a series? That is, what is meant by > An = S? n=1

A: In the given series If n=1, the corresponding term is a1 If n=2, the corresponding term is a2 . . .…

Q: Use the formula for the sum of the first n terms of an arithmetic series to find the sum. 13 + 8 + 2…

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Q: Find the Sum of the series 2/3 , 4/9, 8/27 .......to infinity

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Q: What is the sum of the geometric series below? 1 3 + 1+ 3 1 9 27

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Q: Write > 1 as a telescoping series and find its sum. n(n- 1) n=3

A: Given :  A series an= 1/(n(n-1)) Aim : To write it as Telescoping series and to find its sum…

Q: Vhat is the sum of the series En=0 А. 2 В. -2 N/3 C.

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Q: 5. –10 – 2 + 6+ •…+ 46 - -

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Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: Inspect the series and determine the expression for its nth term. S = 4 + 11 + 18 + 25 + 32

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Q: Approximate the sum of the series by using the first six terms. n+1 6) n² n=1

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Q: Find the sum of each of the following series.

A: Given,

Q: 35, (.5n + 307) n=1

A: ∑n=135 (0.5n+307)=∑n=135 0.5n+∑n=135 307  =0.5∑n=135 n+307∑n=135 1

Q: The sum of the series 1 +++…is 22

A: Here we find the sum of series.

Q: Find the sum of the first 6 terms of the following series, to the nearest integer. 75, 60, 48, ...

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Q: Calculate the sum, to 4 decimal points, of the first 10 terms of the series whose terms are 1, 0.5…

A: we have given that      the series whose terms are1, 0.5, 0.25, .....we have to find sum, to 4…

Q: :? 7- What is the sum of the following telescoping series Ln

A: Find the sum of telescopic series

Q: Find the Sum of the series 1, 2/3, 4/9 , 8/27....to infinity

A: The given question is geometric sequence since there is common ratio between terms. The general…

Q: Which of the following is the correct formula to find the sum of the finite geometric series below?…

A: Given series:- 2+2/3+2/9...+2/36

Q: Find the sum of the first 6 terms of the following series, to the nearest integer. 16, 32, 64,...

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Q: Find the sum of the series. 10" Σ 9 n!

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Q: Approximate the sum of the series by using the first six terms.

A: Approximate the sum of the given series:…

Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

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Q: Determine the sum of the following series ∞∑n=1 (-3)n-1 / 9n

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Q: Find out the number of terms (n) in the series below

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Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (-27) + (–32) +...…

A: For a arithmatic sequence with first term =a, common difference=dthen sum of  first n terms of the…

Q: Find the sum of the geometric series with 4+12+36+108.., n=8 13120 13020 14037

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Q: Find the sum of the first 7 terms of the following series, to the nearest integer. 6, 12/5, 24/25,

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Q: Find the sum of the series: n!

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Q: Astudent argues that (-1)" /n is an alternating series and therefore converges. Is the student…

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Q: What is the sum of the first 12 terms in the series shown below? 1.5 4.5 + 13.5 – 40.5 + | Resnond

A: GIVEN1.5-4.5+13.5-40.5+........To finds12=?

Q: Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40, 160, ...

A: Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40, 160,....

Q: Find the sum of the series below. 1 Σ In (n + 4) In (n +3). n= 1

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Q: What is the sum of the series represented by . (2n + 5)? n=3 Enter your answer in the box.

A: The given series is: ∑n=37(2n+5)

Q: Find the sum for the telescoping series: S=∑∞n=4 ((1/n+1)−(1/n+2))

A: We need to find the sum of the given series.

Q: How would you find the sum of this series?  10/3 + 5/3 + 5/6 + 5/12 + 5/24 + 5/48 + 5/96+...

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Q: (n)! (9) S = En=1 Hint: split the series into 2 (or more) series

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Q: Σ n+2 n=1

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Q: Inspect the series and determine the expression for its nth term. S=2/5+3/10+9/40+27/160+81/640+...

A: This question is related to series .solve in step 2.

Q: Write the general formula for following alternating series in the form > an. n=1 5 5 - ... 8 10 11…

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Q: nd the sum of the first 20 terms of an arithmetic series defined by 19, 35 . O 2,790 O 2,945 O 3,040…

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Q: Evaluate the given infinite geometric series described as 3+2+ + ...

A: This question is related to Geometric series, we will solve it using given information.