Determine how many terms are required for the sum of the series 10k2 – 4k + 2, k = 1,2,3, ... to exceed 20000. what is the sum for this many terms?

Q: What is the sum of the series corresponding to sequence: 1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9,…

A: We have to find sum of the series:

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Q: How many terms of the series that is given below must be summed to estimate the sum of the series…

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Q: 9 k2 (k+1)2 ||

A: Given:=∑k=1∞9k2-9k+12

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Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

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Q: The series from n=5 to infinity of 5^n/6^n, find the sum of the series?

A: As we know that the sum of infinite G.P is given by, S∞=a+ar+ar2+...+∞=a1-r Where a is the first…

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by rouping the…

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

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Q: Find the sum to n terms of the series I +3? +5² +...to n terms

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: Rewrite the series as an equivalent series with the new index of summation. 10 ΣΡ-Σς -Σ Σ-Σ j=0 k=2

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu,, by grouping the…

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 8 2 1+- *-1

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by grouping the…

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Q: What is the sum of the finite series 19 Ë n=1 10n²+ 3n²2² 3 Give your answer exactly as an integer…

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Q: The sum of the series is 4k2-1 k=2

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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: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise & fall 2*.9× 300 The 2nd rise & fall…

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the…

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Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6"…

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Q: - , How many terms of the series do we need to add in order to find the sum to the inaicated…

A: The approximation of a series is obtained by substituting large values of the variable. Very large…

Q: If the n th partial sum of an infinite series is Sn = 4n2 − 3/ 3n2 + 4 , what is the sum of the…

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Q: Find the sum of the follow ing series as n → 0. n n n n + + n² +n° n°+1n² + 22 'n² +3?

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Q: estimate the sum of the series if n is given as 8

A: Given series∑n=1∞-1n-12n4 We have to calculate the sum for n=8 Now, ∑n=18-1n-12n4=…

Q: Determine whether the series + 5 25 + 625 is convergent or divergent.If ... 125 it is convergent,…

A: This is a geometric infinite series by ratio test we will  calculate convergence

Q: п+2 п(п + 1)2"+1 n=1

A: Consider the series ∑n=1∞n+2nn+12n+1  First we will express the given series in the form of…

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A: Given,         3-3ln(2)+3(ln(2))22!-3(ln(2))33!+ . . .

Q: Find the sum of the series from n=2 to ♾ of.  6/(n^2+4n+3)

A: The given series is: ∑n=2∞ 6n2+4n+3

Q: k=1

A: The given series is: ∑k=1∞ekk3 Let, ak=ekk3, k>0 Now,

Q: Determine if the series ∑^x_(n=1)(2/(n(n+2)) converges or diverges. If it converges, find it's sum,…

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Q: Find the sum of the series Σn(0.1)n from n=1 to n =8

A: Given data:   The given expression for the series is S=∑n=1n=8n0.1n.   The given expression can be…

Q: Find the sum of the first 10 terms of the following series, to the nearest integer.  125,50,20,...

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Q: Determine how many terms are needed to estimate the sum of the series to within 0.0 k! k = 0 terms…

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Q: Calculate the sum of the series whose terms are 1, 2, 3, ..., 99.

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Q: Determine the series converges or diverges, and if it converges find the sum 00 k1

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Q: What is the smallest number of terms of the series Σ (-1)2+1 n=1 estimate its sum with an absolute…

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Q: How many terms of the series (-1)" 1+2" are needed to compute the sum of the series with an error…

A: By Alternating series estimation series test : s=∑n=1∞(-1)nbn        1)  bn+1≤bn2)  limn→∞ bn=0Then…

Q: n=1 ,2n TO

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Q: 6. If a series Lu, converges to the sum u then so does any series obtained from Lun grouping the…

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Q: Determine the minimal number of terms required to approximate the sum of the series with an error of…

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Q: Determine the number of terms required to approximate the sum of the series to an error of less than…

A: Given series is ∑n=1∞-1n+1n5 Here an=(-1)n+1n5 By alternating series remainder theorem, for the…

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A: The series is:

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A: Given information: ∑n=1∞7nn4 P series Test to find the series converge or diverge.…

Q: What is the sum of the infinite series "n =1 102" ? Show your work

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Q: Approximate the sum of the series correct to four decimal places. (-1)"-1 „² S = WI

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Q: -2 2 ntl nt2 n=2

A: Given