Approximate the sum of the series by using the first six terms. ( Round your answer to four decimal places.) (−1)n + ¹n 3n n = 1

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: hnd the sum of the following Senes. Exoct values. - 우 1누 - 우 + 우 구 ...

A: The answer is found in step-2

Q: Determine the sum of the following series. (3)"-1 8n n=1

A:

Q: Approximate the sum of the series by using the first six terms. n+1 6) n² n=1

A:

Q: 35, (.5n + 307) n=1

A: ∑n=135 (0.5n+307)=∑n=135 0.5n+∑n=135 307  =0.5∑n=135 n+307∑n=135 1

Q: Find the sum of the series.

A: The series starts from the term n = 4 , since all the terms of the series are positive.

Q: 3 n=0 1 3" 2 5"

A:

Q: Find the sum of the series: n=3 3n+2 57-3

A:

Q: Find the sur 4000+200

A: Given: 4000+2000+1000+250+… To find: Sum of the series.

Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

A:

Q: Petermine The sum -)サ

A: To find the sum of ∑n=0∞-1nαn+1

Q: 14. The sum of a geometric series where a = 4,r= 2, and n = 5 is a. 124 b. 62 c. -124 d. 128

A:

Q: (1) Using your knowledge of the Maclaurin series of the exponential function, find the Maclaurin…

A: i) Given that, fx=e-3x3 To find: Maclaurin series of e-3x3 Maclaurin series of exponential is…

Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

A:

Q: For alternating series, |SN −S| ≤ |aN+1). What is the smallest value of N that approximates the…

A: Using the given error formula.|S-Sn|≤|an+1|