ZeZe4869 ZeZe4869
  • 22-10-2017
  • Mathematics
contestada

Prove: the sum of four consecutive integers is never divisible by 4 g

Respuesta :

superkueen
superkueen superkueen
  • 22-10-2017
Yup, that's right. Your integers are n,n+1,n+2,n+3. You add them up to get 4n+6. If you don't want to talk about remainders or congreuences, then you can also say that 4n+64=n+64=n+1+12. And ...
Missing: g
Answer Link
konrad509
konrad509 konrad509
  • 19-06-2019

[tex]n+n+1+n+2+n+3=4n+6[/tex]

4n is divisible by 4, but 6 is not, so the sum 4n+6 is not divisble by 4.

Answer Link

Otras preguntas

How is Earth’s outer layer similar to a cracked hard-boiled egg?
What do the veils in “lost illusions” symbolize
Given: Angle1 is complementary to Angle2. Angle2 is complementary to Angle3. Prove: mAngle1 = mAngle3 3 separate angles are shown. The angles are labeled 1, 2,
Hey please answer below :) I will choose the brainiest answer :) many thanks
Essay on phone distractions 1,000 words
Brent bought 6 potted plants for his co-workers. Each plant cost $7.91. How much money did he spend on his co-workers? A. $39.55 B. $47.36 C. $48.46 D. $47.4
Please help mehhhh ^w^
Which federal agency protects bank deposits up to $250,000 per institution? Office of the Comptroller of the Currency Federal Deposit Insurance Corporation S
4. The price of a stock decreased by $4 per day for five consecutive days. How much did the stock price change for the five day period?​
Felix wants to talk to Antonio because... A they have been avoiding each other. B he doesn't want to be friends anymore. С they will soon be fighting each other