Find the function represented by the power series. X+ 10 3 n= 1

Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

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: n= 10, a,= 41, S,= 230

A:

Q: uppose that an 9 and - 6 and a1 = 5 and b1 = - 1, find the sum of the series: %3D E(- 5an + 7bn) n=1…

A: We have to solve

Q: Find a simple expression for the sum of the series in (a). BWT n=1 3n 2:31.

A: We have given sum of seriesWe have to find simple expression for the series

Q: Find the sum of the convergent series. 00 Σ η = 1 8 gn2 + 3n - 2

A: According to question,Given Series,∑n=1∞ 89n2+3n-2

Q: Sn = .444 ...

A:

Q: Rewrite the series as a sum. E(2k 1)

A: Given that, ∑k=38(2k-1)   We have to rewrite series into sum.

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: n-3 (- 1)"() 64 Find the sum of the series: 2n +1 n=0

A: To simplify the given series, rewrite the numerator in powers of 2.…

Q: Find the sum of the geometric series. −3 – 12 – 48 – 192, ... n = 6 O -3692 O -3320 0 1 O-4095

A:

Q: Write the terms for the series. Evaluate the sum, given that x, = 0, x, = 1, x3 = 2, X4 = 3, and x5…

A:

Q: Write S SN = S = 1 as a telescoping series and find its sum. Σ = n=9 n(n-1) 1 -

A: To express S=∑n=9∞​n(n−1)1​ as a telescoping series, let's start by breaking down the…

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 the convergent series. Σ 16 n(n + 2) n= 1

A: Given: S=∑n=1∞16nn+2 for finding given summation, first we simplify given expression so,…

Q: Evaluate the series or state that it diverges.

A: The series ∑k=1∞πkek+1. We have to check whether the series is convergent or divergent.