document.write( "Question 1043867: If you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?\r
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Algebra.Com's Answer #659050 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "If you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?\r
\n" ); document.write( "\n" ); document.write( "There are lots of things going on in this problem. I don't want to give you any hints.
\n" ); document.write( "What I want to see is people throwing out ideas on where to start, what to do first, what to do next, etc.
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document.write( "last     1       2        3                           last digit\r\n" );
document.write( "digit n  n^2   (n+1)^2   (n+2)^2       sum 1+2+3      of the sum\r\n" );
document.write( "1	 1	 4	 9		14		4	\r\n" );
document.write( "2 	 4	 9	 6		19		9	\r\n" );
document.write( "3	 9	 6	 5		20		0	\r\n" );
document.write( "4	 6	 5	 6		17		7	\r\n" );
document.write( "5	 5	 6	 9		20		0	\r\n" );
document.write( "6	 6	 9	 4		19		9	\r\n" );
document.write( "7	 9	 4	 1		14		4	\r\n" );
document.write( "8	 4	 1	 0		5		5	\r\n" );
document.write( "9	 1	 0	 1		2		2	\r\n" );
document.write( "0	 0	 1	 4		5		5	\r\n" );
document.write( "								Never occur: 1, 3, 6, 8\r\n" );
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