71 Answered Questions for the topic Series


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


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


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


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


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).


Find the Taylor series for f(x) centered at c.

f(x) = 1/3x-2 , c = -6


Find the Taylor series for f(x) centered at c.

f(x) = e3x,    c = −9


Find the Taylor Series expansion up to degree three of....

sqrt(2+x) about a=2


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.


Find the sum of the infinite series below.

1/3*7 + 1/7*11 + 1/11*15 + 1/15*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.


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.


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... more


nth term of 0,1,1,2,2,3,3...

sequence problem


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  


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?


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.


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.....


How would I define a bounded series?

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


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?    


5 9 25 119 ? is this a wrong series or any answer available

pls clear my confusion


SERIES +N/2+N/4+N/8......1

1 3

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