SOLUTION: Prove the conjecture below by writing a variable statement and using algebra. Conjecture: The sum of five consecutive integers is always divisible by five. x + (x + 1) + (x

Algebra ->  Geometry-proofs -> SOLUTION: Prove the conjecture below by writing a variable statement and using algebra. Conjecture: The sum of five consecutive integers is always divisible by five. x + (x + 1) + (x       Log On


   



Question 350679: Prove the conjecture below by writing a variable statement and using algebra.
Conjecture: The sum of five consecutive integers is always
divisible by five.
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = ?


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!


x+%2B+%28x+%2B+1%29+%2B+%28x+%2B+2%29+%2B+%28x+%2B+3%29+%2B+%28x+%2B+4%29+=+5%28x%2B2%29
Which is a multiple of 5, hence divisible by 5.