Find as for the series given by the a1= 3, an+1 = 2an. а. 384 b. 172 с. d. 192 97 е. 768

Q: The sum of the series (if it exist) is Ln=1 +11n+30

A: Given, ∑n=1∞1n2+11n+30 To evaluate sum of series if it exists

Q: 8n n! n3D0 8.

A: According to the given information it is required to find the sum of the series using the Maclaurin…

Q: For which of the following series does the ratio test fall? (e) None (a) (b) (c) (d)

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Q: The sum of the series E 4(5)" is n n=0

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Q: In  the given equation as folows , write an equivalent series with the index of summation beginning…

A: Definition used -                                   ∑n=0∞an=a0+∑n=1∞an

Q: Find the smallest number n of terms needed to obtain an approximation of the series 25ke 0.13k…

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Q: The sum of the series is k2 + 11k + 30 k=1 8.

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Q: Find the sum of the series: E [ran-"(2n +1) – tan-(2n – 1)] n=1

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Q: 8) Find the sum of the series by comparing it to a known MacLaurin series. 2n TT 00 42" (2n)! n=0

A: Solve

Q: 3. Find the exact value of the series S = > n(n +2)* n=1

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Q: By differentioating the series G1)" T find the exact value of (-1)".3u

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Q: The value of p for the series En=1n! e¯n by using ratio test is 2 O 8.

A: Ratio Test: Let ∑n=1∞un be a given series such that limn→∞un+1un=ρ Then the series converges iff…

Q: In  the given question as follows , approximate the sum of the series by using the first six terms:-…

A: The given sequence is ∑n=1∞(-1)n+12n3=∑n=1∞an Here an=(-1)n+12n3

Q: Find the sum of the series to the accuracy IerrorI < 0.001. How many terms of the sries do we…

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Q: In the given equation as follows , approximate the sum of the series by using the first six terms:-…

A: Given,         ∑n=1∞-1n+1n3n

Q: Express the given power series as a series with generic term x". 00 Σ n+3 n+3 n=8 Σ

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Q: For which of the following series is the Ratio Test inconclusive? Select one: Σ Σ * (-3)* +1 n=1…

A: To find for which series the Ratio test is inconclusive.

Q: For what values of x does the series, (-1)"(3 – x)" n4n n=1 a) absolutely, b) conditionally?

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Q: In  the given question as solows , verify that the Ratio Test is inconclusive for the p-series:- see…

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Q: Approximate the value of the series to within an error of at most 10 -3 (-1)"+1 (n + 7)(n + 8)…

A: GIVEN∑n→1∞(-1)n+1(n+7)(n+8) we need to find the smallest value of N that approximates S to within an…

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: For the series 2 + 6 + 18 + 54 + etc., find; (i) the ...... th 10 term (ii) the sum of the first 18…

A: Given series: 2+6+18+54+⋯   (i) To find: The 10th term of above series.

Q: Given that the sum of the first n terms of a series is given by, Sn = 2n² + 3n %3!

A: In this question, we find the nth term of the series and further we find the first term and common…

Q: Given that eX =2 for -o0<x<0o, then a power series fore is: n=en!

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Q: Find the first five terms of a power series for e*. +4

A: This question is based on power series expansion of ex.

Q: Consider the series an +∞ and Etibn where cos(3) and bn 1 n³ n3 an =

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Q: Find the sum of the given series. E[1+ (-1)*] = i=1

A: To find the sum of the below series. ∑i=161+−1i

Q: To find: The nth term of the power series of lnx and cosx for the power n= 5 and for a value of x =…

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Q: Find the first four moments about the origin from the following series and convert them into the…

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Q: Starting with the geometric series r", find the sum of the series n=0 Σ |r| < 1 nz"-1 n=1 8WI

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Q: Find o for feDz e Taulor series centred Jat c= -3. Use toble to solve the problem. a.

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Q: The following series: Σ * 36 n2 1 n=2 Expressed as a telescopic series or a sum of two telescopic…

A: The given series is:∑n=2+∞36n2-1

Q: Зп — 1 Find the sum of the series: n! n=0

A: We will find the sum of the series as shown below

Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. 9. 11 13…

A: Solution

Q: Find S, for the geometric series 4+12+36+--

A: The given geometric series is 4+12+36+⋯ Formula used: Sn=a(1-rn)1-r

Q: Find the sum of the first 10 terms of the series. A (n) = 5n – 2 S10

A: Finding S10

Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 72 (V18)" n=0

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Q: Find the exact value of the series. (-1)"72n 62n (2n)! T n=0

A: find the exact value of the given series

Q: Find the sum of the series: ++ + f O 0.166438 No answer text provided. 0.1665905 0.1666667 ||

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

A: To find the number of term such that the error is less than 0.001 .

Q: Write the first four items of a Maclaurin series for f(x)=ex and use the value x=1 to calculate a…

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Q: The degree of the power series is а. 0 b. definite с. 00 d. none of these

A: I have given this answer in step-2.

Q: For what Values of B does the series E,- 2n = 2 converge ? n3D2

A: We have to find values such that given series is convergent.

Q: 1 >arctan 2n2 n=1

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Q: Express the given power series as a series with generic term x*. Σ_n(n-9)anxi _n+8 00 n=8 ΣΠ

A: The general form of the series is given by  ∑n=a∞anxn To covert any series of the from ∑n=a∞anxn+c…

Q: Q(5) the second term of Maclaurin series generated by f (x) e-* is: (a) x (b) -x? (c) -

A: I know the Maclaurin series for e^x and by replacing x by -x we get the solution

Q: What is the condition to satisfy to determine the end point of the approximation of values in the…

A: Q1. We have to determine the condition to satisfy to determine the end point of the approximation of…

Q: Consider the series , ark1, a 0. Then if r < 1, the series converges to

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Q: Find the first four terms in the maclaurin series, for X y =

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Q: 4. Calculate the sum of the S series with an accuracy 0.001. 1 S 23

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