document.write( "Question 880498: how many multiples of 3 are between -3002 to 6001? \n" ); document.write( "
Algebra.Com's Answer #531505 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If you start with \"+-3002+\", the next
\n" ); document.write( "HIGHER number divisible by \"+3+\" is
\n" ); document.write( "\"+-3000+\"
\n" ); document.write( "----------------
\n" ); document.write( "The next LOWER number less than \"+6001+\"
\n" ); document.write( "that is divisible by \"+3+\" is \"+6000+\"
\n" ); document.write( "---------------
\n" ); document.write( "So, the column of numbers between these
\n" ); document.write( "( an including these ) that is divisible by \"+3+\"
\n" ); document.write( "looks like:
\n" ); document.write( "-3000
\n" ); document.write( "-3000 + 3
\n" ); document.write( "-3000 + 6
\n" ); document.write( "-3000 + 9
\n" ); document.write( "All the way up to
\n" ); document.write( "-3000 + 9000
\n" ); document.write( "---------------------
\n" ); document.write( "Each of the entries also looks like:
\n" ); document.write( "-3000 + 3*0
\n" ); document.write( "-3000 + 3*1
\n" ); document.write( "-3000 + 3*2
\n" ); document.write( "All the way up to
\n" ); document.write( "-3000 + 3*3000
\n" ); document.write( "-------------------
\n" ); document.write( "So, it looks like to get to the final entry
\n" ); document.write( "you have \"+3001+\" multipliers ( 0 - 3000 )
\n" ); document.write( "of \"+3+\" added to \"+-3000+\"
\n" ); document.write( "----------------------
\n" ); document.write( "So, there are 3001 multiples of 3 between
\n" ); document.write( "-3002 and 6001\r
\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "
\n" );