document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168611>Question 168611</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of all multiples of 6 that are strictly between 3128 and 51804? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124385 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=124385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: sum 1 to n = n(n+1)/2\r<BR>\n" );
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document.write( "First term that is a multiple of 6: 3132\r<BR>\n" );
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document.write( "Last term that is a multiple of 6: 51804\r<BR>\n" );
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document.write( "3132+3138+3144+...+51798+51804\r<BR>\n" );
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document.write( "6(522+527+533+...+8628+8634)\r<BR>\n" );
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document.write( "6(sum 1 to 8634 - sum 1 to 521) \r<BR>\n" );
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document.write( "6(8634(8635)/2 - 521(522)/2)\r<BR>\n" );
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document.write( "6(37277295 - 135981)\r<BR>\n" );
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document.write( "6(37141314)\r<BR>\n" );
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document.write( "222847884\r<BR>\n" );
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document.write( "So the sum of all multiples of 6 that are strictly between 3128 and 51804 is 222,847,884<BR>\n" );
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