4. Let Sn = a; be the nth partial sum of the series an. Suppose that Sn is given by Sn = 5-; 2 n2. i=1 n=1

Q: find the all composition series of Z120 .

A: find the all composition series of Z120 .

Q: For the series 2 + (-4) + 8 + (-16) + … a1 =  r =  The sum of the first 7 terms, S7, =

A:

Q: Let a, b e R such that 2a + b = 5 (1) If the series a b n n +2 n=3 is convergent then %3D (ii) If a,…

A: Given a,b∈R such that 2a+b=5 (i) Given the series ∑n=3∞an+bn+2 is convergent The we have to find the…

Q: ) Find the exact Sum of the following అఅయా 47.(and! series 25 A, 2. D-1

A:

Q: 4 Σ Find the sum of the series (2n - 1)(2n + 1) n= 1

A: The explanation of the solution as follows:

Q: +00 1 Find the sum of the following convergent series: n? – 3n + 2 n=3

A:

Q: Find the sum of the series

A:

Q: Determine the sum of the series

A:

Q: 3 Find (- 3)'-1 i=1

A: Given : ∑i=13-3i-1

Q: Estimate 16 dr using the 4th partial sum of a power series. How accurate is this estimate?

A:

Q: 5. Determine the exact sum of the following series. •(-2)" +3" 135 405 (a) (b) 5+ 5 512 4096 4" 1…

A: Let's find.

Q: timate the series n=1 (-1)" 2n - 5n to within an accuracy of 0.5.

A: To

Q: Find the sum of the first 60 terms of the series whose terms are defined by: an = 8+ (n – 1) (-3)…

A: We use concept of arithmetric progression.

Q: n - 4 Sn The nth partial sum of the series 2n = 1 an is given by n + 5. Select the correct rule for…

A:

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

A:

Q: Estimate the error in using the partial sum of 65 terms of the series k9 k=1 Error <

A: Given series is  ∑k=1∞2k9

Q: 4. From the series cotan-1 x = 1/x – 1/3x³ + 1/5x³ 1/7x + •··(valid for x > 1) deduce the continued…

A: When a fraction ab is written as, ab=a1a2+b1a3+b2... the representation is known as a continued…

Q: n Σ 1 3 2 n = 0 8

A:

Q: 1. a. List out the first four terms of the following series: > n(n – 1)a,nx"-2 = In%=2 b. Combine…

A: Solution of the problem as follows

Q: 3n+1 Σ 6n-1

A:

Q: 6. What is the sum of the series 元 17 + πT TE (A) (B) (C) e+π e + 1 e اسه TU TT ++ (-1) +1/+ +... ?…

A:

Q: a. Differentiate the series 1 + x + x² + ·.. + x" +.. х to obtain a series for 1/(1 – x)². b. In one…

A: Since there are multiple questions present and you have not specified which question to answer,…

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

A: Given series is ∑n=1∞1n-1n+1

Q: 2).  For an as follows, write the sum        an as a geometric series. a1 =  1 14 and  an an + 1

A: This is a question of infinite series.

Q: 8] n=2 22n-3 + 3n+2 5n-4

A:

Q: For the series 1 + 9 + 81 + 729 + … a1 =  r =  The sum of the first 6 terms, S6, =

A: Given that  For the series 1 + 9 + 81 + 729 + …a1 = r = The sum of the first 6 terms, S6,

Q: -2 Find the sum of the series n=1 4n2+8n+3

A:

Q: Consider the series 1/3 +1/9+1+27+1+81 +...... the first partial sums are s1=1/3, s2 =4/9, s3=13/27,…

A:

Q: 4. Determine whether the alternating series n+ 4 E(-1)"+1 (n +1) (n + 2) n=1 converges or diverges.

A: 4 Given series is ∑n=1∞−1n+1n+4n+1n+2. We have to check whether the given series is converges or…

Q: Find the sum of the series 8 n=0 4" 6″n!

A: Note the following fact :  ex=∑n=0∞xnn! ∀ x∈ℝ