2 1. Find the sum of this telescoping series n(n+ 1)

Q: Find the sum of the series. n=1

A:

Q: Write S = n(n-1) n=7 1 as a telescoping series and find its sum. %3D S =

A: Given: S=∑n=7∞ 1n(n-1)

Q: The sum of the geometric series 2 7(0.7 )n is n=0

A:

Q: కాంతవాలి కె సగవడాడి Find the sum of the finite geometric series 3+31/2+1+3-1/2 +. . . + 3-21

A:

Q: 1) Find the sum of the Telescoping series n=1 2 n(n+3)

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: 9. find the of the geometric series. sum if possible. 3(2)"-! nil

A: We have to find sum

Q: Evaluate the infinite geometric series. 4 – 2+1-+.. 0 3 2/3 O 8/3 O no sum

A: Given, the infinite geometric series,4 - 2 + 1 - 12 + ................................∞a = 4, r =…

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

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Q: Vhat is the sum of the series En=0 А. 2 В. -2 N/3 C.

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

A:

Q: Find the sum of the series: S=∑∞n=0 ((−1)^n)/(4^n)=

A: According to the given information it is required to calculate the sum of the given series:

Q: Find the sum of the series: S=∑∞n=2 1/(4^n)=

A: Given, series

Q: Find the sum of the telescoping series k=1

A: Given telescopic series:

Q: The sum of the series 1 +++…is 22

A: Here we find the sum of series.

Q: Find the sum of the first 100 terms of the series given. 3+8+13+ 18 +....

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

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: Find the sum of the series (2n + n°) n= 1

A: Given the series is  ∑n=142n+n3 The sum of the series will be ∑i=1nai=a1+a2+a3+...+an

Q: The sum of the series Σ 1 is: 2" n=1

A: Given that: ∑n=1∞12n

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

A:

Q: Approximate the sum of the series by using the first six terms.

A: Approximate the sum of the given series:…

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the sum of the series. En(n-1)ylyl < 1 +7 n=2

A:

Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

A:

Q: Find the sum of the series. 9n n-1

A:

Q: What is the exact value of the series from k=2 to 100 of (2/(k-1))-(2/(k+1))?

A: Distribute the sum with the two parts.

Q: 3" + 5" mine whether the series 2 6h converges or diverges. If it converges, find its sum. n= 1

A:

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

A:

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: Find the sum of the series: n=0 x7n-6 n!

A:

Q: 4" – 3" a) If the series, E 5" converges, what is its sum? n=0

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The sum of the series > 2"+23n is n=0

A: Given : ∑n=0∞2n+23-n

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

A:

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

A:

Q: Σ n2+3n+2 n=1

A: The given series is: ∑n∞1n2+3n+2  We have to find sum of this series.

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

A:

Q: Write S Σ as a telescoping series and find its sum. п(п-1) n=4 SN = S =

A:

Q: Approximate the sum of the series by using the first six terms. (-1)*2 En=0 n!

A: Check the convergence then find sum.

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

A:

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

A:

Q: Find the sum of the geometric series. (3 Σ 4 n = 1

A:

Q: Find the sum of the series. 15. n-1 n· 2n n=1

A:

Q: What is the general expression for the ?th term of the series -4/3+9/5-16/7+25/9-36/11

A: The given series:-43+95-167+259-3611+...We need write the general expression for the nth term of the…

Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.