document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160989>Question 1160989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If S_17= 629 and a_1= -3 in an arithmetic sequence, find d and a_29\r<BR>\n" );
document.write( "\n" );
document.write( " d=<BR>\n" );
document.write( "a_29= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784434 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=784434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The non-standard solution shown by tutor @ikleyn is a good one....  Here is one that is more traditional.<br><BR>\n" );
document.write( "(1) Use the given sum of the first 17 terms and the given first term to find the 17th term.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B17%5D+=+17%28%28a%5B1%5D%2Ba%5B17%5D%29%2F2%29 ALIGN=MIDDLE  ALT=\"S%5B17%5D+=+17%28%28a%5B1%5D%2Ba%5B17%5D%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=629+=+17%28%28%28-3%29%2Ba%5B17%5D%29%2F2%29 ALIGN=MIDDLE  ALT=\"629+=+17%28%28%28-3%29%2Ba%5B17%5D%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=74+=+-3%2Ba%5B17%5D ALIGN=MIDDLE  ALT=\"74+=+-3%2Ba%5B17%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B17%5D+=+77 ALIGN=MIDDLE  ALT=\"a%5B17%5D+=+77\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Use the 1st and 17th terms to find the common difference.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B17%5D+=+a%5B1%5D%2B16d ALIGN=MIDDLE  ALT=\"a%5B17%5D+=+a%5B1%5D%2B16d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=77+=+%28-3%29%2B16d ALIGN=MIDDLE  ALT=\"77+=+%28-3%29%2B16d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80+=+16d ALIGN=MIDDLE  ALT=\"80+=+16d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+5 ALIGN=MIDDLE  ALT=\"d+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The common difference is 5.<br><BR>\n" );
document.write( "(3) Use the first term and the common difference to find the 29th term.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B29%5D+=+a%5B1%5D%2B28d ALIGN=MIDDLE  ALT=\"a%5B29%5D+=+a%5B1%5D%2B28d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B29%5D+=+%28-3%29%2B28%285%29+=+%28-3%29%2B140+=+137 ALIGN=MIDDLE  ALT=\"a%5B29%5D+=+%28-3%29%2B28%285%29+=+%28-3%29%2B140+=+137\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The 29th term is 137.<br><BR>\n" );
document.write( " </SPAN>\n" );
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