A community for students.
Here's the question you clicked on:
 0 viewing
imqwerty
 one year ago
find general formula of > 1^x +2^x +3^x.........n^x
imqwerty
 one year ago
find general formula of > 1^x +2^x +3^x.........n^x

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sum_{a=1}^{n}a^{x}\]

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.0@MayankD i want to find formula like we have \[\sum_{n=1}^{n}n^2 =\frac{ n(n+1)(2n+1) }{ 6}\]

dan815
 one year ago
Best ResponseYou've already chosen the best response.7oaky so if u noticed this u can rewrite this in some slightly different notation like theyre all just sum of sums

dan815
 one year ago
Best ResponseYou've already chosen the best response.7you see how these sums of sums is working

dan815
 one year ago
Best ResponseYou've already chosen the best response.7now can we get a general form for sum of sums formula

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.0why did u say its =0N^2 ?

dan815
 one year ago
Best ResponseYou've already chosen the best response.7it means the highest degree for our closed formula is of degree 2

dan815
 one year ago
Best ResponseYou've already chosen the best response.7jsut simplifying the math for now, we can worry about the additional order terms later

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0BigO is a function which defines an upper bound for another function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Asymptotically that is

dan815
 one year ago
Best ResponseYou've already chosen the best response.7now lets thinking if there is some way of computing sum of sum of sum of sums...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I do not think you will get a simplistic answer like those you showed me for this variable exponential summation. The answer has to do with generalised harmonic numbers(courtesy wolfram alpha)

dan815
 one year ago
Best ResponseYou've already chosen the best response.7yeah xD i think this is why i stopped after i got the recursive equation to keep generating 1 degree higher

dan815
 one year ago
Best ResponseYou've already chosen the best response.7but hey i think there is still some ways

dan815
 one year ago
Best ResponseYou've already chosen the best response.7to get approximate solutions

dan815
 one year ago
Best ResponseYou've already chosen the best response.7this stuff reminds me of this sigma function thing

dan815
 one year ago
Best ResponseYou've already chosen the best response.7which is used in arithmetic function stuff, and u do something called dirichlet convolutions

dan815
 one year ago
Best ResponseYou've already chosen the best response.7and i believe they are also formed out of the harmonic series

dan815
 one year ago
Best ResponseYou've already chosen the best response.7take a look at this if you are interested https://www.youtube.com/watch?v=X0XJ3TuMiFc

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443896724330:dw this is not true
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.