Find S for the arithmetic series 5+7+9+ ... and determine the value of n for which the series has sum 165. S. 2 The value of n for which the series has sum 165 is

Q: B. Inspect the series and determine the expression for its nth term. 1. S = -6+ 10 – 14 + 18 – 22 +…

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Q: Identify whether the series is an arithmetic series (AS), geometric series (GS) or not one of the…

A: NOTE: As per our company guidelines we are supposed to answer only the first 3 subparts. Kindly…

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: Let S > a, be an infinite series such that SN = 9 – 6 n=1 10 16 (a) What are the values of an and >…

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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: What are the values of a1 and r of the geometric series? 1 +3 + 9 + 27+81 1 O a = 1 and r= %3D O a1…

A: Given, Geometric series- 1+3+9+27+81

Q: Knowing that the arithmetic mean of the following series is 15, what is the value of the 5th…

A: Given; Arithmetic Mean = 15 X1=10 X2=12 X3=14 X4=18        X5= ? Total number of observation= 5

Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: 1 Q.6 - Let S be the sum of the Basel series: S=1+ 25 49 81 1 1 1 1 + + + 25 9 16

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Q: 2. For each arithmetic series, state the values of a and d. Then, determine the sum of the first 20…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find the sum of the finite geometric series by using the formula for Sn. 1 1--+ 4 16 64 256 1024…

A: Given problems:- Question 1     Question 2

Q: Euler found the sum of the p-series with p = 4= 4 1 3(4) = > 4 n = 1 90 Use Euler's result to find…

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Q: The sum of a geometric series 6 + 3 + 1.5 + + 0.023 437 5 is O A) 11.87 O B) 5.988 28 OC) 11.976 562…

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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: If it exists, what is the sum of the series? т+1 1 1 14 3 m=1 Select the correct answer below: -168…

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Q: 27 81 Q4/ show that the following series is a geometric series ++ 46 100

A: Solution is provided below

Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

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Q: 7+7+77+ 49 + to 12 terms

A: We need to find the sum of the series 7+7+77+49+... 12 terms. So,                  7+7+77+49+... 12…

Q: 4) Find the Σ Σ _n=1 SUM of the following series (a₁ +n) (a₁ +n+1)(a+n+2) (af-n, nEN)

A: To Find: The sum of the series ∑n=1∞1(a+n)(a+n+1)(a+n+2), (a≠-n, n∈ℕ)

Q: Find S, for the arithmetic series 24+16+8+.. 20

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Q: he convergence or divergence of the given series or state tha 1 10 n=

A: Answer is convergent.

Q: Find the sum of all multiples of 3 from 3 to 39, inclusive. Sn Sn =0

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

Q: - "(a, +a,) ifoesn odi bat ot roielunlso oiriqg e oal S = 1-r 8 (1-r') Use and = 2 1-r and to find:…

A: Here the given series is a geometric series with common ratio greater than one. So we use the second…

Q: Let Sk denote the sum of the first k terms of an arithmetic series. If S2n/S2 = 3 for some integer…

A: Given that sk  denote the sum of the first k terms of an A.Psk=kk+12s2ns2=3To find : s5ns3nSolution:…

Q: Evaluate the series or state that it diverges.

A: Given: S=∑k=1∞1356k+3579k for evaluating given summation, first we expand given summation so,…

Q: 1 Use the comparison test to determine whether the series n' +e n=1

A: We have to check

Q: Which series is ready to be added to the series k without any additional steps? k-1 Ο Σ O (k + 2)(k…

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Q: Euler found the sum of the p-series with p = 4: 3(4) = n- 1 06 Use Euler's result to find the sum of…

A: here the given , ζ4=∑n=1∞1n4= π490      .............................(1) now we have to find part (a…

Q: 1 How many terms of the series S would you need to add to find its sum to within 0.01? [n(In(n))*] n…

A: According to question given that ∑n=2∞1[lnlnn4] We have to calculate number of terms that should be…

Q: Which one is the sum of the geometric series 1 00 n= O 2 O 3 | 2 O Divergent 3/4

A: The sum of an infinite geometric series is given by, Sn=∑n=0∞arn=a1-r if r<1 a is the first term…

Q: Complete the function that calculates the sum of the first  n+1 terms of the geometric series…

A: This is to derive the formula of GP series, which is a problem of series and sequence, counting and…

Q: 20. Find the sum, if it exists, of the infinite geometric series S =1+++ +.... O S= 3 OS= 2 O The…

A: Common ratio(r)  is obtained by the ratio of second term to the first term of the GP

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: Consider the following sequence. 6, 18, 54, 162,    Find the sum to 10 terms. s10 = ? If the…

A: 6,18,54,162,.... Formula Sum of n terms Sn=a(1-rn)1-rSum of infinityS=a1-r

Q: 4) For the given several first terms of a number series, find one of possible formulas for the…

A: We have to find the formula for the general term.

Q: Which of the following is not a p-series? -4 n n=1 В n n=1 ne n=1 1 en n=1

A: P series as below :

Q: How many terms are there in a geometric series if the first term is 7, the common ratio is 2, and…

A: a= first term=7 r= common ratio=2 S= sum=105

Q: n Sn = En-0 8 (-) 4.

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Q: Write out the first eight terms of the series to show how the series starts. Then find the sum of…

A: Given Series is  ∑n=1∞5-37n Comparing with the series ∑n=1∞an , we get an=5-37n

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

A: Given, The arithmetic series    5+7+9+....   We have to find the value of n  for which the series…

Q: What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324? Hint:  r ≠ 1, where…

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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: 00 How many terms of the series 1 would you need to add to find its sum to within 0.01? [n(1 + In…

A: Given series ∑n=1∞1n1+ln n9

Q: Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum…

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Q: Find the sum of the following series. Round to the nearest hundredth if necessary. 6 + 12 + 24 + ...…

A: Given Data: Series: 6+12+24+...+6144 The common ratio of the series is, r=a2a1 Here, a1 is the first…

Q: - Inspect the series and determine the expression for its nth term. 1. S = 4 + 11 + 18 + 25 + 32 2.…

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Q: Q3: Which of these series n 1. 1+ n=1

A: " since you have asked multiple question, we will solve solve the first question for you .if you…