SOLUTION: Prove the following conjecture:
"The sum of any three positive consecutive odd integers will be divisible by three."
This is urgent! Thank you!
Algebra ->
Proofs
-> SOLUTION: Prove the following conjecture:
"The sum of any three positive consecutive odd integers will be divisible by three."
This is urgent! Thank you!
Log On
Question 310154: Prove the following conjecture:
"The sum of any three positive consecutive odd integers will be divisible by three."
This is urgent! Thank you! Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The sum is
n + n+2 + n+4
= 3n+6 which is divisible by 3.
----------------------
The sum of any 3 consecutive integers is divisible by 3, odd, even, negative, doesn't matter.
