rcappleman06
rcappleman06 rcappleman06
  • 12-06-2020
  • Mathematics
contestada

Prove that the sum of 3 consecutive numbers is always a multiple of 3

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 14-06-2020

Proof:

3 consecutive integers are x, x+1 , x+2.

Add these values.

x+x+1+x+2

3x+3

3×(x+1)

3(x+1) is the multiple of 3 for any integer value of x.

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Cetacea
Cetacea Cetacea
  • 01-02-2022

Answer: We have proved that the sum of 3 consecutive numbers is always a multiple of 3.

Let us assume: 3 consecutive integers are x, x+1 , x+2.

Then add these values.

[tex]x+x+1+x+2\\=3x+3\\=3(x+1)[/tex]

It is the multiple of 3 for any integer value of x.

Learn more: https://brainly.com/question/12049968

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