document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204618>Question 1204618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The pattern forming the irrational number 0.12340432100123400043210000... continues indefinitely. What is the 1945th digit in this pattern? <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 #840977 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=840977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The lengths of the strings of digits beginning with \"1234\" are<br><BR>\n" );
document.write( "11, 15, 19, 23, ...<br><BR>\n" );
document.write( "The n-th term in this sequence is 4n+7.<br><BR>\n" );
document.write( "The sum of the n terms of the sequence<br><BR>\n" );
document.write( "11, 15, 19, ..., 4n+7<br><BR>\n" );
document.write( "is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28%2811%2B%284n%2B7%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"n%28%2811%2B%284n%2B7%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28%284n%2B18%29%2F2%29 ALIGN=MIDDLE  ALT=\"n%28%284n%2B18%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%282n%2B9%29 ALIGN=MIDDLE  ALT=\"n%282n%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%5E2%2B9n ALIGN=MIDDLE  ALT=\"2n%5E2%2B9n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use a graphing calculator or some other method to find that the value of n that makes that sum 1945 is a bit more than 29.  Then find that the sum of 29 terms of the sequence is 1943.<br><BR>\n" );
document.write( "So the 1945th digit in the given number is the second digit in the sequence \"1234...\" that begins each string.<br><BR>\n" );
document.write( "ANSWER: 2<br><BR>\n" );
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document.write( "NOTE: I believe Edwin's first response was correct.  When the problem asks for the 1945th digit IN THIS PATTERN, I don't think the 0 before the decimal point is part of THE PATTERN.<br><BR>\n" );
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