Find S for the arithmetic series 5+7+9+ and determine the value of n for which the series has sum 165. S. %3D The value of n for which the series has sum 165 is

Q: 00 Write S = E 1 as a telescoping series and find its sum. п(п-1) n=4 SN S =

A: Series and sequences, by telescoping series

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Find S for the arithmetic series 5+7+9+ ... and determine the value of n for which the series has…

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Q: 32 E. For the given series, S2 = 10 and S = what is the possible common ratio and the first term? 3

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Q: 00 1 12. Write telescoping series and find its sum. as a п (п — 1) n=3

A: Given, ∑n=3∞1n(n-1)

Q: Find the sum A, of the arithmetic series that satisfies the given conditions. 23. n = 10, a, = -10,…

A: 24. n=16, a1=8, a2=326. n=10, a3=16, a5=3028. n=2014, a1=-7, a2014=101

Q: (-1)" For the series En=1 n3 00

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Q: Find the values of x does the power series converge? п! n=0

A: Given:                          The power series ∑n=0∞xnn!

Q: 20. By computer or tables, find the exact sum of each of the following series. n(n + 1) (a) (b) (c)…

A: Given the series, we have to find the sum of the following series using the computer or tables.

Q: Find Sn for the arithmetic series - 20-8+4+... . 20 S. 20

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Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: Solution...

Q: Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a geometric series.…

A: Given repeating decimal: 0.8   (a) To write: 0.8 as geometric series

Q: 5. For what value or values of a, if any, does the given series converge? Σ n=1 1 an+b' a > 0, b > 0

A: We have to determine that for what values of a, if any, does the following series converges :…

Q: For a given series, S1 = 1, S2 = 8, and S3 = 21. What is the 3rd term in the sequence? 15 O 13 9. O…

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Q: Find the sum of the geometric series. ½+1/4+1/8+1/16…s10

A: We will find the sum as following .

Q: Find the sum of the series: S=∑∞n=2 1/(4^n)=

A: Given, series

Q: Consider the following repeating decimal. 0.2 (a) Write the repeating decimal as a geometric series.…

A: Given repeating decimal  0.2 The given repeating decimal can be written as…

Q: Consider the following repeating decimal. 0.219 (a) Write the repeating decimal as a geometric…

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Q: Consider the following repeating decimal. 0.618 (a) Write the repeating decimal as a geometric…

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Q: 13. What comes in place of the blank in the following series?WE, SG, PJ, LN,

A: Since you have asked multiple questions here, we will solve the first question for you . To get the…

Q: Detemine o number of derms n in.cacn Orithimetic Series an=166 Sn=1440 =26 A.n=23 B.n=15 D:nニ192

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Q: . 08. If the arithmetic mean of two items of a series is 12.5 and G.M. is 10, what is the difference…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Date... anam Q. Find the Fouries Series of d sx) = -X-

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Q: Consider the following repeating decimal. 0.619 (a) Write the repeating decimal as a geometric…

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Q: 00 Vrite the general formula for following alternating series in the form an. Σ n=1 8 8 8. + 12 8 10…

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Q: An Write the general formula for following alternating series in the form > n=1 10 10 10 + 9. 10…

A: Given that: 108-109+1010-1011+⋯ =10(18-19+110-111+⋯) =∑n=0∞-1n108+n   where an=(-1)n108+n

Q: (b) Find the sum of each series below using the 6 (i) E (in (2n – 1)(2n + 1)

A: Here we have to find the sum of the series using the simple fractionation method.

Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: (~1) an 8'

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Q: 1. (a) Calculate the value of the series: Σ n=0

A: ∑n=0∞-29n

Q: Consider the following repeating decimal. 0.4 (a) Write the repeating decimal as a geometric series.…

A: 0.4=0.4+0.4(0.1)+0.4(0.1)2+0.4(0.1)3+............

Q: Find the sum of each arithmetic series. a) Find S28 for the arithmetic series. b) D, (3i + 4) S20=…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: We have to solve the sum of given series using first six term.

Q: the

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: Given ∑n=1∞(-1)n+1n4n

Q: Find the sum of the series below. 00 40n Σ n=1 (2n - 1(2n + 1)² The sum of the series is

A: Here, the given series is: ∑n=1∞40n(2n-1)2(2n+1)2 Let, an=40n(2n-1)2(2n+1)2,…

Q: The n partsal sum S, of the series (A) S (B) S. (D) S (E) None +3

A: We use partial fraction method

Q: Find the sum, if it exists, of the series. h+1 1 11 h=1 Select the correct answer below: 429 11 78…

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Q: Evaluate the series or state that it diverges. 1 3 Σ + 6. k = 1 Select the correct choice below and,…

A: To evaluate the value of the series, ∑k=1∞1514k+3516k, split the series. Pull the constants, 15 and…

Q: Consider the following repeating decimal. 0.819 (a) Write the repeating decimal as a geometric…

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Q: Find the sum of the series X∞ n=2 2 n2 − 1 [Hint: This is a Telescoping series

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: given series is                                         S=∑n=1∞(-1)n+1n4n we have to approximate the…

Q: 2. a) Find the sum the series n=1

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Q: Consider the following. 0.09 (a) Write the repeating decimal as a geometric series. Σ n = 0 (b)…

A: Given a repeating decimal : 0.09¯ We need to write it as geometric series and find the sum of the…

Q: Consider the series A) 2 B){ C) 00 D) 5 E) none of these 455

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Q: Find the sum of this arithmetic series. Σ 15-3) j=1 E (5j – 3) =U j=1 (Simplify your answer. Type an…

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Q: Consider the following repeating decimal. 0.219 (a) Write the repeating decimal as a geometric…

A: Given,          0.219¯