document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101010>Question 1101010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The term that succeed 1000 in the series 13,26,39........is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715588 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The word \"succeeds\" in the wording of the question puzzles me.<BR>\n" );
document.write( "I do not know what was meant by that.<BR>\n" );
document.write( "When we are given the first few terms of a sequence,<BR>\n" );
document.write( "we have to guess what is the idea of the person designing the sequence.<BR>\n" );
document.write( "We expect it to be a popular choice, one that most math teachers and students would expect.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13=13%2A1 ALIGN=MIDDLE  ALT=\"13=13%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26=13%2A2 ALIGN=MIDDLE  ALT=\"26=13%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39=13%2A3 ALIGN=MIDDLE  ALT=\"39=13%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "13,26,39........is expected to be an arithmetic sequence<BR>\n" );
document.write( "where each term is the previous term plus 13.<BR>\n" );
document.write( "They are all multiples of 13,<BR>\n" );
document.write( "so 1000 is not a term of that sequence,<BR>\n" );
document.write( "but 1001=77*13 is the 77th term, and the first term exceeding 1000.<BR>\n" );
document.write( "The 1000th term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A1000=13000 ALIGN=MIDDLE  ALT=\"13%2A1000=13000\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "UNCOMMON DESIGNS FOR THE REMAINDER OF THAT SEQUENCE:<BR>\n" );
document.write( "13,26,39,412,515,618,721,824,927,1030,1133,...<BR>\n" );
document.write( " <BR>\n" );
document.write( "Maybe the person designing that problem has a good imagination.<BR>\n" );
document.write( "13,26,39,4=,5e,6y,7o,8],... </SPAN>\n" );
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