document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199753>Question 1199753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been trying to understand a solution by greenstamps here:<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1132971.html\r<BR>\n" );
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document.write( "He got me started by giving the rationale, but when I got to work on it, I didn't get the same answer as him and I have no idea why. Here's my work:\r<BR>\n" );
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document.write( "Q) <BR>\n" );
document.write( "100, 101\r<BR>\n" );
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document.write( "100 + 101 = 201\r<BR>\n" );
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document.write( "100, 101, 201\r<BR>\n" );
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document.write( "201 + 100 = 301<BR>\n" );
document.write( "201 + 101 = 302\r<BR>\n" );
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document.write( "100, 101, 201, 301, 302\r<BR>\n" );
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document.write( "301 + 100 = 401 GOOD<BR>\n" );
document.write( "301 + 101 = 402 BAD\r<BR>\n" );
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document.write( "100, 101, 201, 301, 302, 401\r<BR>\n" );
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document.write( "401 + 100 = 501 GOOD<BR>\n" );
document.write( "301 + 201 = 502 BAD<BR>\n" );
document.write( "302 + 201 = 503 GOOD\r<BR>\n" );
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document.write( "100, 101, 201, 301, 302, 401, 501, 503\r<BR>\n" );
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document.write( "501 + 100 = 601 GOOD<BR>\n" );
document.write( "501 + 101 = 602 BAD<BR>\n" );
document.write( "503 + 100 = 603 BAD<BR>\n" );
document.write( "503 + 101 = 604 GOOD\r<BR>\n" );
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document.write( "100, 101, 201, 301, 302, 401, 501, 503, 601, 604<BR>\n" );
document.write( "SUM = 3,615 \r<BR>\n" );
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document.write( "Exactly 200 more than what he got. <BR>\n" );
document.write( "Where am I wrong?\r<BR>\n" );
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document.write( "Please help. Thanks!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833722 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Thanks for re-posting.  It is very seldom that I get to see that a student whom I have tried to help has taken my suggestions and tried to finish the problem himself.<br><BR>\n" );
document.write( "And thanks for showing the work you did.  It makes it very easy for me to help...!<br><BR>\n" );
document.write( "Here is your work up to a certain point....<br><BR>\n" );
document.write( "100, 101<BR>\n" );
document.write( "100 + 101 = 201<BR>\n" );
document.write( "100, 101, 201<BR>\n" );
document.write( "201 + 100 = 301<BR>\n" );
document.write( "201 + 101 = 302<BR>\n" );
document.write( "100, 101, 201, 301, 302<BR>\n" );
document.write( "301 + 100 = 401 GOOD<BR>\n" );
document.write( "301 + 101 = 402 BAD<BR>\n" );
document.write( "100, 101, 201, 301, 302, 401<br><BR>\n" );
document.write( "You missed one there.  Easy to do, since it is an unfamiliar process you have to go through to find the next numbers in the sequence.<br><BR>\n" );
document.write( "Here is how those last few lines should look:<br><BR>\n" );
document.write( "301 + 100 = 401 GOOD<BR>\n" );
document.write( "301 + 101 = 402 BAD<BR>\n" );
document.write( "101 + 302 = 403 GOOD<BR>\n" );
document.write( "100, 101, 201, 301, 302, 401, 403<br><BR>\n" );
document.write( "Then of course the subsequent numbers in the sequence will all be different.<br><BR>\n" );
document.write( "Note that the units digits of the subsequent numbers in the sequence will all still be the same; and the tens digits are all still 0.  So your list of the first ten terms of the sequence, compared to the corrected list, will have one fewer number in the 400s and one more number in the 600s, with the tens and units digits in both lists being the same -- making the difference between your sum and the correct sum exactly 200.<br>\r<BR>\n" );
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