SOLUTION: Prove the following conjecture: "The sum of any three positive consecutive integers will be divisible by three" urgent thank you!

SOLUTION: Prove the following conjecture: "The sum of any three positive consecutive integers will be divisible by three" urgent thank you!

Algebra.Com

Question 310155: Prove the following conjecture:
"The sum of any three positive consecutive integers will be divisible by three"
urgent thank you!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let n=1st integer, so (n+1)=2nd integer and (n+2)=3rd integer

sum of integers ___ n + n+1 + n+2 = 3n+3

dividing the sum by 3 ___ (3n+3) / 3 = n+1

the sum is divisible by 3 and the result is the 2nd integer
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