document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066380>Question 1066380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the fifth and seventh terms of an arithmetic series is 38,while the sum of the first fifteen terms is 375.<BR>\n" );
document.write( "Determine the first term and the common difference <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 #681551 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=681551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming you mean, \"sequence\" instead of \"series\".\r<BR>\n" );
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document.write( "General term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B%28n-1%29d ALIGN=MIDDLE  ALT=\"a%2B%28n-1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Index is n;<BR>\n" );
document.write( "common difference each next term is d.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B4d%29%2B%28a%2B6d%29=38 ALIGN=MIDDLE  ALT=\"%28a%2B4d%29%2B%28a%2B6d%29=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B10d=38 ALIGN=MIDDLE  ALT=\"2a%2B10d=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B5d=19 ALIGN=MIDDLE  ALT=\"a%2B5d=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Sum of first fifteen terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%28a%2Ba%2B%2815-1%29d%29%2F2=375 ALIGN=MIDDLE  ALT=\"15%28a%2Ba%2B%2815-1%29d%29%2F2=375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2F2%29%282a%2B14d%29=375 ALIGN=MIDDLE  ALT=\"%2815%2F2%29%282a%2B14d%29=375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%28a%2B7d%29=375 ALIGN=MIDDLE  ALT=\"15%28a%2B7d%29=375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B7d=25 ALIGN=MIDDLE  ALT=\"a%2B7d=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplified system is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%2B5d=19%2Ca%2B7d=25%29 ALIGN=MIDDLE  ALT=\"system%28a%2B5d=19%2Ca%2B7d=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve this system. </SPAN>\n" );
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