71 Answered Questions for the topic Series

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...
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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...
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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...
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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...
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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).

04/08/19

#### Writing a trilogy and editing?

I planned out to write a trilogy and the first draft of book one is now completed. I want to know if I should edit this draft before starting on the second book.

03/08/19

#### if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.

if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.I really have no idea.

11/30/18

#### Determine the convergence of the series from n=4 to ∞ of [1+(1/n)]^-n^2

We need to use the root test to answer this question.

10/14/18

#### mystery function

How does one find an equation for data given a set of ordered pairs (the function is not linear)?My series begins: (1,1), (2,5), (3,14), (4, 30), (5, 55), (6,91). I am curious about the answer but...
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06/25/18

#### If the first term of an infinite geometric series is equal to twice of the sum of all the terms that follows it, then the value of r is?

1/3, 1, 1/2 or 2? how?

06/25/18

#### If a4= 4 of an AP then find the sum of first 7 terms of the corresponding arithmetic series

If im given with the 4th value and the total terms how do I solve without a1 or an and d

01/14/18

#### Limits of sequences and series

How do I go about proving limits for given sequences and series, for example how would i prove that the limit when x tends to infinity of n^(1/n)=1?

12/15/17

#### I'm having trouble with series.

Let f(x)= ∑∞n=0 (x^n)/(n!)
Find f(0)= 1
f(1)= e
f'(x)= f(x)
f''(x)= f(x)
Not exactly sure how we're supposed to go about finding those answers, or how to start.

12/09/17

#### in a given numbers series 01 to 49, how many series of 6 numbers can be formed???with illustrations

Given numbers 01 to 49, make unique series of 6 numbers....I e if we select 5,11,19,22,31,49/1,9,16,29,33,44 then they shd be found there.....

11/28/17

#### How would I define a bounded series?

Please note that I am talking about a series and NOT a sequence

11/18/17

#### When N=2800 as input... Print 1,4,49,121,169,361,529,841,1329,1681,1849 and count the numbers which have digit 9 and print the count.

I couldn't figure out how to do this :/

11/13/17

#### Determine whether the sequence converges or diverges. If it converges find the limit.

an=e(-1/sqrt(n))
Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex
{n2e-n}
Limit converges to 0? How?

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