document.write( "Question 938087: if the digits 6,5,4,3,2,1 are written in that same order over and over again, what will be the 4000th digit \n" ); document.write( "
Algebra.Com's Answer #571433 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Fractions are a confusing way to explain this. Rather than use fractions,\r\n" ); document.write( "it would be better to divide 4000 by 6 by long division and look only at the\r\n" ); document.write( "remainder:\r\n" ); document.write( " \r\n" ); document.write( " 666\r\n" ); document.write( "6)4000\r\n" ); document.write( " 36\r\n" ); document.write( " 40\r\n" ); document.write( " 36\r\n" ); document.write( " 40\r\n" ); document.write( " 36\r\n" ); document.write( " 4\r\n" ); document.write( "\r\n" ); document.write( "The 666 quotient tells us how many COMPLETE times the sequence goes through\r\n" ); document.write( "the cycle of 6,5,4,3,2,1, and the 4 remainder tells us which member of the\r\n" ); document.write( "cycle is the 4000th digit.\r\n" ); document.write( "\r\n" ); document.write( "Since the 4th member of the cycle is 3, the answer is 3. \r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |