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

Algebra.Com's Answer #250664 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "\"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\"
\n" ); document.write( "Which is a multiple of 5, hence divisible by 5.
\n" ); document.write( "
\n" ); document.write( "
\n" );