Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
Erfan
Erfan asked in Science & MathematicsMathematics · 10 years ago

What is the result of [x] + [2x] +[3x] +...+[nx]?

5 Answers

Relevance
  • gôhpihán
    Lv 7
    10 years ago
    Favorite Answer

    I suppose [x] is the greatest integer function

    Note that [nx] ≠ n[x]. You can prove it by contradiction. Suppose x = 1/2, n = 3. Then nx = 3/2, [nx] = 1, n[x] = 3[1/2] = 0.

    So we can't simplify it to [nx] * [n+1]/2

    Starring this question in hope of actual people who knows math can solve this.

  • Wolverine
    10 years ago

    [nx]*[n+1]/2 is the answer

    dont forget to visit my blog

    http://youthknowledge.blogspot.com/

    feel free to comment!!

    thank you :)

  • ?
    Lv 6
    10 years ago

    1[x]+2[x]+3[x]+-------+n[x]=[x][1+2+3+-----+n]=n(n+1)/2 [x]

  • Anonymous
    10 years ago

    Sn=n/2[2x+(n-1)x] is the formula For it. You can always contact me for your algebra questions.

  • How do you think about the answers? You can sign in to vote the answer.
  • Anonymous
    10 years ago

    just solve the arithmetic series. here is the formula

    http://en.wikipedia.org/wiki/Arithmetic_progressio...

Still have questions? Get your answers by asking now.