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

JRHarrison90 Group Title

Show that any three integers contain a pair whose sum is even.

  • 10 months ago
  • 10 months ago

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

    let the first integer be n the next one is n+1 and the last one is n+2

    • 10 months ago
  2. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    if the first integer is even then so will be n+2 OR if the first integer is odd then n+2 will be odd too

    • 10 months ago
  3. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the sum of two even number is an even number, and the sum of two odd number is also an even numbers so in either case , there will necessarily be a pair that gives an even number when summed

    • 10 months ago
  4. Easyaspi314 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    WhatJRharrison92 is asking...any three integers...not necessarily consecutive integers. But the argument is similar for ANY three integers.

    • 10 months ago
  5. JRHarrison90 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes ANY three not consecutive.

    • 10 months ago
  6. Easyaspi314 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, it says any integers, consecutive or not...but Unkle...will finish that argument for ANY integers.

    • 10 months ago
  7. JRHarrison90 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

    • 10 months ago
  8. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, right, thought the question said consecutive.

    • 10 months ago
  9. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    well, if you have three nonconsecutive integers, each of them must be either even or odd, in any combination, there will be sum that is even

    • 10 months 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.