document.write( "Question 774136: Prove the conjecture below by writing a variable statement and using algebra.
\n" ); document.write( "Conjecture: the sum of 4 consecutive integers is always divisible by five.
\n" ); document.write( "X+(x+1)+(x+2)+(x+3)+(x+4)= ? \n" ); document.write( "

Algebra.Com's Answer #472080 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = the first integer
\n" ); document.write( "So the sum of the 5 consecutive integers is
\n" ); document.write( "

\n" ); document.write( " $\"x%2B2\"$ = an integer, actually, the third of the 5 consecutive integers,
\n" ); document.write( "so $\"5%28x%2B2%29\"$ is a multiple of 5. \n" ); document.write( "

\n" );