Find the Sum of the series 2/3 , 4/9, 8/27 .......to infinity

Q: Determine the sum of the following infinite series: 5 7 k=0

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" n° 9 n = 1

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Q: Find the sum of the convergent series. 00 8. Σ n(n + 2) n = 1

A: If you think of a series as process where we keep adding the numbers one at a time (in order), then…

Q: Find the sum of the convergent series. 3+.

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

Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: Find the sum of the series: ∑∞n=0((5/2^n)−(1/3^n))=

A: The given series is

Q: Approximate the sum of the series correct to within 0.00001. (-1)" (4n)! n = 1

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Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n8" n = 1

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Q: Calculate the sum of the series 6 + 42/5 + 294/25 + 2.058/125 + ⋯ if it is convergent. sum =?

A: The series is given below: 6+425+29425+2058125+........ Then the infinite series becomes:…

Q: Find the sum of the convergent series. n = 0

A: Formula for finding sum of a convergent geometric series is,         sum=a1-r Where ,      a= first…

Q: 2" +1 Ln=0 3"

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Q: α 4" n=2 5n!

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Q: Find the sum of the series: n=0 1-2 (-1)" (1) " 2n + 1

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Q: Find the sum of the convergent series. Σ n = 0

A: Use sum of formula of infinite term of gp

Q: Find the sum of the series . 7" (n+1)² n3D0

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Q: Find 21st term of series  12,16,18

A: n=21 tn=a+n-1d a=12, d=4 t21=12+204 t21=12+80

Q: Find the sum of the convergent series. 00 81 n(n + 2) n = 1

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Q: Find the sum of the series. 8. (-1)" n = 0 5 n!

A: Solve by series sum

Q: Find the infinite sum, if it exists for this series: – 2+ (0.5) + ( – 0.125) + · . .

A: The given series is:  -2 + (0.5) + (-0.125) + ... Formula used: Infinite sum of geometric series…

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: Find the sum of the series. 1 - In(4) + (In(4))² _ (In(4))³ 2! 3!

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" Σ n6" n = 1

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Q: Find the sum of the series S.

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

Q: Find the sum of the convergent series. 20 Σ n(n + 2) n = 1

A: The given convergent series:  ∑n=1∞ 20n(n+2)

Q: Find the sum of the series. Σ 5" 7°n! n = 0

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Q: Find the exact sum of the following series. 8∞ 1 -1 (4k-3) (4k+1)

A: A series is , a description of the operation of adding infinitely many quantities, one after the…

Q: n +3 2n + 1

A: We are given the series,                                . We need to check whether the series is…

Q: Find the sum of the series. Σ 5"n! n = 0 8.

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Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" (3n)! n = 1 8.

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Q: Find the sum of the series 2 2 n= 1 'n+1 'n+ 2

A: To find the sum of given series.

Q: Find the exact sum of the following series. 1+ln(3)+(ln(3))2 /2+(ln(3))3 /6+(ln(3))4 /24+...

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Q: Find the sum of the following series. 1 2 n=1 2/n+1) /(n+1),

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Q: Find the sum of the series. Σ 6"n! n = 0

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Q: Find the exact sum of the series 1 - 1 + (1/2!) - (1/3!) + (1/4!) - (1/5!) + (1/6!) - ...

A: Topic:- sequence and series

Q: Find the sum of the series Σ 1/n(n+2) from n=1 to infinity

A: Given : ∑n=1∞1nn+2

Q: Find the sum of the series below. 1 Σ In (n + 4) In (n +3). n= 1

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Q: Find the sum of series  Σ∞ n=0    4(7/8)^n if it converges.

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Q: Σ n+2 n=1

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Q: Find the sum of the series: n=0 x n!

A: We are asked to find the sum of the series.

Q: Approximate the sum of the series correct to four decimal places. 00 5 n! n = 1

A: use exponential function as taylor series

Q: of

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Q: Find the sum of the convergent series.

A: To find the sum of the convergent series: ∑n=0∞523n Solution: Expanding the given series, we get…

Q: ++++s + +... 21 243 63

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Q: Find the sum of the series whose terms are a sub n= 1/5^n. What kind of series is this?

A: Consider the series with an=15n.   Since , an+1an=15n+115n=15 Implies the terms have common ratio…

Q: Find the sum of the convergent series. Σ 9 10 10 n =0

A: We can make it easier for you

Q: Approximate the sum of the series correct to within 0.00001. (-1)" (3n)! n = 1

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Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....…

Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

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Q: Approximate the sum of the series correct to within 0.00001 (-1)" n = 1

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