A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Just something to work on, Prove \( \large \sum \limits_{k=1}^{n} k\times k! = (n+1)! -1 \) without using induction.

  • This Question is Closed
  1. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    easy :)...use the same 'trick' I did for the last problem

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Only few things could be somewhat hard for you Zarkon :D but still not all of us know how to read your mind :)

  3. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    k=(k+1)-1

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, telescopic summation :)

  5. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I've been trying a different approach, but it doesn't seem to be working :-(

  6. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ffm, zarkon has an alien brain

  7. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that is ture

  8. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I feel sorry for all you HUmons

  9. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, all these professors seems to have that :P

  10. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    \[\begin{align} \sum \limits_{k=1}^{n} k\times k!&=\sum \limits_{k=1}^{n} ((k+1)-1)\times k!\\ &=\sum \limits_{k=1}^{n} (k+1)! - k!\\ &=2!-1!+3!-2!+4!-3!+...+(n+1)!-n!\\ &=(n+1)!-1 \end{align}\]using hint given by Zarkon and telescopic sum as ffm indicated

  11. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I like that :)

  12. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    all credit and trademarks belong to Zarkon and ffm :D

  13. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how much do they get paid, ffm?

  14. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    Zarkon especially - he seems to have a brain like a laser! :D

  15. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Its Planet doom university...they really cultivate the young alien mind.

  16. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sometimes the thought that he has got supernatural powers occurs to me :-P

  17. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    :D lol! Zarkon

  18. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Myin, more than they could possibly spend, (they spend most of the time doing maths)

  19. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    one time someone asked me why they call it "telescope" which was the first time i realized that it was not obvious. i guess modern telescopes don't actually "telescope"

  20. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Zarkon can you use that money to see me to plant doom university.

  21. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Me too please!

  22. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    send* lol

  23. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @send?

  24. Zarkon
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    only if you lived there...the out of planet tuition is outragious.

  25. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    I'd be happy to stow away in the luggage compartment!

  26. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you fold well?

  27. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha

  28. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    @satellite - we still have telescopic aerials, poles, etc - you could use those as examples? :) @myininaya - yes - I was trained especially for that by being fed lots of soft bananas :D

  29. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Looks like asnaseer has been to other planets too, haven't you?

  30. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 8

    Shhhh.... Mr.Math - you are ruining my plan to rule the Universe.... ;-)

  31. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well anyways great question and great answer to all of the aliens involved.

  32. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Myin: Take a look at this M.SE thread ( http://math.stackexchange.com/questions/18576/)

  33. Mr.Math
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Whops! sorry.

  34. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so this is where you got the problem ffm? from this universe?

  35. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol no, I just got it from MR.M's previous question.

  36. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.