ItsOfficiallyE6993 ItsOfficiallyE6993
  • 25-02-2022
  • Mathematics
contestada

The sum of the squares of 4 consecutive integers is an even integer.

Respuesta :

Paounn
Paounn Paounn
  • 25-02-2022

Answer:

yes

Step-by-step explanation:

Let's call the first integer n and let's compute.[tex]n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16 =\\4n^2+20n +30 = 2 (2n^2+10n+15)[/tex]

Which is indeed of the form 2(something), so it is even.

Answer Link

Otras preguntas

Nuclear power is the only energy source which gives off radiation. a. True b. False
what would happen if human sperm and eggs were produced by mitosis ?
compare Write<,>,or = 5/8 5/12
The main excretory organs of insects and spiders are .
What percent of 40 is 12
9. Sonya opened a savings account with and deposits each week. Brad opened a savings account with and contributes each week. After how many weeks will account
Which sample of matter is a mixture
why is it wrong to responds to conflict by confrontation
Why were the warriors of Songhai outmatched despite having a larger army than Morocco?
A plane flew 1,000 miles away from London for one flight. For the next flight, it flew 500 miles toward London. How far was the plane from London after the seco