Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lgbasallote

  • 3 years ago

Show that if n and k are positive integers, then

  • This Question is Closed
  1. lgbasallote
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\lceil\) n/k \(\rceil\) = \(\lfloor\) (n-1)/k \(\rfloor\) + 1

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

    its obvious for \(n\le k\) because it comes\[1=0+1\]for \(n>k\) suppose that \(n=mk+r\) and \(r<k\) so we have\[\lceil \frac{mk+r}{k} \rceil=m+\lceil \frac{r}{k} \rceil=m+1\]and\[\lfloor \frac{mk+r-1}{k} \rfloor+1=m+\lfloor \frac{n-1}{k} \rfloor+1=m+0+1=m+1\]

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

    obvious?

  4. 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