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

Females developing wider hips and males developing facial hair are examples of
Voluntary muscles attached to bones and capable of permitting body movement are called
You make the following measurements of an object: 42 kg and 22 m3. What would the object’s density be? Show your work for credit and include final units.
What is the second step when you construct a copy of a line segment
Who is Apophis inEgyptian mythology
How did military leaders gain support in japan in the 1930s?
One result of alexander's many victories was the formation of the hellenistic civilization, which was ________.
what is the approximate length of arc s on the circle ?A) 5.23 inB) 41.87 inC) 52.36 inD) 104.67 in
Which is a more objective measurement, sound intensity or loudness, and why? 1. sound intensity is exactly same as loudness. 2. sound intensity is a more object
Which of the four containers represents a compound? A) Cl B) H2O C) N2 Eliminate D) Na