91 Answered Questions for the topic Series

Series Precalculus

05/03/21

Write the series with Sigma Notation. 1+(-1/4)+1/9+(-1/16)+...+1/576
I know that the upper bound= 1/576 and the lower bound=1 but I am struggling to write the expression part because I can't find a common ratio or common difference.
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Series Calculus

04/27/21

Calculus 2 , series

Find the maclaurin series for the function : f(x) = x^2 . e^ -3x
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Series Calculus

04/24/21

Very simple sequence/series question
I have been stumped trying to figure out this question on my homework for some time now. I am required to find a convergent sequence a(n) where its counterpart f(x) that shares the same formula is... more
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12/08/20

Finding a series
Find a series that converges conditionally, where the n=10 term for the series is 12 and the n=11 term is -6.
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12/08/20

Finding a series
Find a series that has some negative terms that can converge absolutely by using limit comparison test and compare it to 1 over n2.
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11/19/20

Find the Maclaurin series
Find the terms through degree five of the Maclaurin series for 𝑓(𝑥)=11sin(𝑥)cos(𝑥).
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11/19/20

Find the Maclaurin series
Find  in the Maclaurin series ∑ n=0 ∞ an for ƒ(x) = 2x6 cos (x9) and find the interval on which the expansion is valid.
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Series Geometry

06/30/20

Geometric Series ?
Find a_10 if a_3=135 and r=1/3
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06/23/20

sum of the series \sum_(n=1)^(\infty ) ((1)/(\root(n)(2))-(1)/(\root(n+1)(2)))
how do i find the sum of this series \sum_(n=1)^(\infty ) ((1)/(\root(n)(2))-(1)/(\root(n+1)(2)))
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05/27/20

Determine whether this series is a convergent or divergent. ∑ n=1∞ [(n + 1)!]2 /(2n + 2)!
Determine whether this series is a convergent or divergent.∑ n=1∞ [(n + 1)!]2 /(2n + 2)!PLEASE SOLVE THIS PROBLEM WITH STEPS
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05/27/20

Determine whether this series is a convergent or divergent.

Determine whether this series is a convergent or divergent. ∑ n=1∞ 1 /(n + n cos2n) PLEASE SOLVE THE PROBLEM WITH STEPS
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04/08/20

Determine if the series is absolutely convergent, conditionally convergent, or divergent.sum of n=1 to infinity of (n+2)/sqrt (n^5-n+1)
NEED ASAP!! please provide step by step solution and answers. Thank you.
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04/08/20

determine whether the series is absolutely convergent, conditionally convergent or divergent. If it converges, estimate the remainder r10.

sum of {n=1} to infinity of (-1)^n ((n^2)/sqrt(n^5+n+1))NEED ASAP!! please provide step by step solution and answers. Thank you!
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03/08/20

Determine whether the sequence is convergent or divergent. If it is convergent, find the limit: an=sin^3((-1)^n(n^-2))
Please help! Need answer ASAP! Please answer with step by step explanation. Thank you.
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02/18/20

In Sequence/Series what is the current term and what is the previous term?
If a1 is the 1st term, is this considered the previous term? and a^n-l the current term?Sequence/Series is Aritemetric and Geometric.
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09/11/19

|x+2|-|x-1|<x-3/2
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09/09/19

Sequence/ number series
How do you solve number series or sequence where the values alternate between adding a number and subtracting a number?For example: Find the 30th term in the sequence.6,2,7,3,8,4,9..Notice the... more
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07/16/19

Series: How can I get my reader to not expect any one genre?
**Background:** I'm planning on writing an extensive series of fantasy books. I plan on writing quite a few of these books, and while they'll all be set on the same planet, I intend them to center... more
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07/12/19

How can I Switch Protagonists Between Books?
*Disclaimer: I am not intending on doing this. It is just a question I thought was fascinating and might be useful to other writers.* Here's the scenario. You're writing a series of novels. After... more
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07/01/19

Whats the fifth term!??
a1=1an=3an-1+2
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06/25/19

What techniques are used to plot long (multi-novel) story arcs?
As a very visual person, I have always considered plotting a story to be somewhat like knitting or macrame. How do series authors handle multi novel story arcs? Do they just keep throwing out... more
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05/05/19

I want to find the exact sum of the power series.
I have the power series (n3^n-1)/(2^2n) going from 1 to infinity. How do I find the exact value for the series. I believe that we just use a power series function that we already know and based off... more
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04/26/19

Find the Maclaurin series for f(x) = cos(x^2) and use it to determine f^ (8)(0).
Find the Maclaurin series for f(x) = cos(x2)and use it to determine f (8)(0).
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04/26/19

Find the Taylor series for f(x) centered at c.
f(x) = 1/3x-2 , c = -6
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04/26/19

Find the Taylor series for f(x) centered at c.
f(x) = e3x,    c = −9
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