Find the sum of the S = 5/7 + 10/21 + 20/63 +…..

Q: Find the sum of the series n (r +1) (n+2)* 32 (n +3*) 3/2 as n → 00_ n +(n-1)| 3/2

A:

Q: Determine the sum of the following series. 3" + 5" 9n n=1

A:

Q: Evaluate the sum of the infinite series 2 S = 2 – + 3 9 2 + 27

A: Given sequence  Take 2 common  Then the sequence becomes GP with  a = 1 and r = -1/3 Sum of infinite…

Q: Find the sum of the following series 1 Σ 1 n=1 4"

A: The series diverges if n value starts from 1. The term1n2-1 is infinity when n=1.  So Here we shall…

Q: Consider the sum S given by 1 S= 1001 + 1 1002

A:

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to…

A:

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

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: 10 n(n +2) n=1

A: We have to find the sum

Q: 2 The sum of the series > is 4k²–1 k=5 | 8.

A:

Q: Determine the sum of the following series: 3" + 4" 8" n=1 E (0.3"-1 – 0.8") %3| n=1

A:

Q: The sum of the series is k-3 2k+1) O 4 8 3 6. O None 2/3 4/9

A: Sum of series.

Q: Calculate the sum of the series: 1 + 4 1 1 + 12 1 + 20 + ... 16 A. С. 1 D. doesn't exist B.

A: We have series , 14 + 18 + 112 +  116 + 120 + ...... This series can be written as , ∑n=1∞14n First…

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

A: The given series is

Q: Find the sum of the series: 2 (n + 7)(n + 5) n=1

A:

Q: 5 Compute the sum: 3n

A: Take 3 out of the summation and the use the formula for sum of n natural numbers.

Q: Find the sum of the following series: 00 7. n² (-3)" n=1

A: See solution below

Q: Use the formu for the sum of the first 5.2 + 5.4 + 5.6 + . .. + 7.6 S13 =

A: SOLUTION-

Q: Find the Sum of the series 1, 2/3, 4/9 , 8/27....to infinity

A: The given question is geometric sequence since there is common ratio between terms. The general…

Q: 7 + 10 + 13 + . + 40 i-

A: 7+10+13+....+40  First term⇒ a1=7, Last term⇒ an=40common differnce⇒10-7=3 Last term=First…

Q: Find the sum of the series: ∞ Σ      3(n+3) n=3

A:

Q: Compute the sum of the scries 1 n(n+1) 2". n=1

A:

Q: Find the sum of the series 1−0,37+0,372 −0,373+…

A:

Q: Find the sum of the series. 10" Σ 9 n!

A:

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

A:

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

A: Solve by series sum

Q: (~1) an 8'

A:

Q: S,= 1550, n = 3, r=5

A: Topic- geometric sum

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

A:

Q: Find the sum of the series: Σ (n + 7)(n + 5) n=1 II 8

A:

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

A:

Q: Determine the sum of the following series. 2" + 9" 12" n=1

A: for this question we use the formula to find the sum of geometric series S=first term /(1-common…

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

A:

Q: Find the sum of the series (In 2)2 (In 3)3 1– In 2+ 3! +.. 2!

A:

Q: Q2-)Determine the sum of the following series: 4 1- 2n=1 (4n-3)(4n+1). 2- 2n=0

A: 1. We use partial fractions to find the sum of the given series. 2. We use the sum of geometric…

Q: is The sum of the series > 4k²–1 k=5 8.

A:

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

A:

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

A:

Q: Find the sum of the telescoping series 1 Vn + Vn +1 O A. 00 O B. 2 O.1 O D. -00

A: Given :                     let

Q: The sum of the geometric series 27(0.7)n Σ7(0.7"η is n=0

A:

Q: > 4"51-n n=1

A:

Q: Find the sum of the series. Σ. 4n 5"n!

A:

Q: Find the sum for the telescoping series: S=∑∞n=4 ((1/n+1)−(1/n+2))

A: We need to find the sum of the given series.

Q: Find the sum of the series: Σ n=0 - − 1)" (12/12) " + ³ 25 2n + 1 (

A: Sol:- Given series can be re-written as…

Q: 2 The sum of the series is 4k2-1 k-4 O None 1 3 O 1 5 1 1 7

A:

Q: Compute the sum of the infinite series 32 15 15 16 16 12 O None of the others

A:

Q: Find the sum of the series. s 7(-1)"72n + 2n + 1(2n + 1)! 00 Σ n = 0

A:

Q: Find the sum of the series: 3 + 3.9 + 4.8 + 5.7 + 6.6 + .... + 30. O 445.5 O 462 O 495 O 511.5 O 528

A: It is arithmetic progression problem

Q: 14. Find the Sum of: 1 in(n+3) In (n+2) ニ

A: To find the sum of the given term

Q: Find the sum of the series S. 3 - 3 In(6) + 3 (In(6))² 2! 3 (In(6)) 3 3! S =

A:

Q: Calculate the sum of the series ∞∑k=01(2k+1)2.

A: