Calculate the sum of the series whose partial sums are given. n = 1 Sn = 2 - 5(0.6)"

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A: This question can be solved using the concept of convergence and divergence.

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 6 Σ…

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A: We need to evaluate the sum of the following convergent series 3+32+34+38+···········

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A: ∑n=1∞2n+1n2+n2 Now, 2n+1n2+n2=2n+1nn+12=2n+1n2n+12=n+12-n2n2n+12=n+12n2n+12-n2n2n+12=1n2-1n+12…

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A: Q5 asked and answered.

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A: The interval of convergence of the power series which is the sum from n=0 to infinity The answer is…

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A: Use sum of formula of infinite term of gp

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Q: Does the. series from 1 to infinity of ((-3)^(n+1))/(2^(3n)) converge or diverge?

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 2 4…

A: given,         sn=∑n=1∞1n3

Q: Calculate the sum of the series Sa whose partial sums are given. in 3 - 4(0.8)" Sn

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Q: Determine whether the geometric (– 1)"3" series * is convergent or divergent, n=1 8" and if it is…

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Q: Find the sum of the convergent series. 2 [(0.9)" + (0.2)] n = 0

A: We have the given series as ∑n=0∞0.9n+0.2n Now, we have ∑n=0∞0.9n is a geometric series with a=1 and…

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Q: Vn Vn+1 n=16

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Q: k=1

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Q: Σ is equal to n+1 alue of the partial sum of the infinite series ......

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A: Given : ∑n=1∞-1n+12n3n nln1+x = ∑n=1∞-1n+1 xnn    as x < 1Therefore,23 < 1ln1+23 = ∑n=1∞-1n+1…

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A: Given series is ∑n=1∞9n3

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A: The series can be expressed as follows.

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A: The nth term of the given series is  6 / ( 5n + 5)( n + 2 ) = ( 6/5 ) × ( 1/( n + 1 )( n + 2 ) ) = (…

Q: Estimate the error in using the partial sum of 50 terms of the series

A: Error  ≤ 0.0000000032.

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Q: Find the sum of the convergent series. Σ

A: The given convergent series is, ∑n=0∞-47n To find its sum.

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Q: 1 Σ /n nー1

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Q: Determine whether the series converges or diverges. n 4n3 + 5 n = 1 converges diverges

A: Option a is correct Converges

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Q: Determine whether the series converges or diverges. n = 1 O converges diverges

A: Given query is to find series converges or diverges.

Q: Determine whether the given series converges or diverges. If it converges, find its sum. -2 *-0…

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Q: Calculate the first five terms of the sequence of partial sums correct to four decimal places. Does…

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A: Given series : ∑n=0∞ -15n The given series is ∑n=0∞ -15n=1-15+125-1125+...... The given series is…

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Q: Consider the infinite series int n=1 If we use the sequence of partial sums S, to estimate value of…

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

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Q: Compute the general term an of the series with the partial sum Sn = 1--,n > 1. n an If the sequence…

A: SOLUTION-