Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sauravshakya

Is there any formula for this 1^n +2^n +3^n +...+x^n

  • one year ago
  • one year ago

  • This Question is Closed
  1. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    why don't you try for a derivation ?

    • one year ago
  2. amoodarya
    Best Response
    You've already chosen the best response.
    Medals 0

    yes but is very complicated ! look these 1+2+3 + ...n=n(n+1)/2 1^2+2^2 +...n^2=n(n+1)(2n+1)/6 1^3+2^3+...+n^3=(n(n+1)/2)^2

    • one year ago
  3. manishsatywali
    Best Response
    You've already chosen the best response.
    Medals 0

    no standard formula

    • one year ago
  4. sauravshakya
    Best Response
    You've already chosen the best response.
    Medals 0

    Cant it be expressed interms of x and n

    • one year ago
  5. amoodarya
    Best Response
    You've already chosen the best response.
    Medals 0

    its not easy to write when n is >4 but look 1+2+3+ ...+x=x(x+1)/2 is that "what you mean "?

    • one year ago
  6. shubhamsrg
    Best Response
    You've already chosen the best response.
    Medals 3

    Well these is no standard formula, you can only derive that formula for summation(i^n) if you know the value of summation(i^ (n-1)) which will require knowledge of summation(i^(n-2)) and so on.. :|

    • one year ago
  7. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    This reminds me of a p-series... \[\large \sum_{k=1}^{x}\frac{1}{k^{p}}\] And then just set p = -n... But we don't have such an expression for the x'th partial sum as far as I know, for any p-series

    • one year ago
  8. terenzreignz
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, except for the ones @amoodarya mentioned, anyway.

    • one year ago
    • Attachments:

See more questions >>>

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.