document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892169>Question 892169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the second term of an arithmetic sequence is 7, the sum of the first four terms in the arithmetic sequence is 12, find 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 #540349 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=540349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> General term of the sequence, <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( "a = first term<BR>\n" );
document.write( "n = index of the term<BR>\n" );
document.write( "d = common difference\r<BR>\n" );
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document.write( "Your final term used in the series is n=4 for the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B3d ALIGN=MIDDLE  ALT=\"a%2B3d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The term at n=2 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bd=7 ALIGN=MIDDLE  ALT=\"a%2Bd=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The sum of your first four terms is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F2%29%28firstTerm%2BlastTerm%29 ALIGN=MIDDLE  ALT=\"%284%2F2%29%28firstTerm%2BlastTerm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%28a%2Ba%2B3d%29=12 ALIGN=MIDDLE  ALT=\"%282%29%28a%2Ba%2B3d%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%282a%2B3d%29=12 ALIGN=MIDDLE  ALT=\"%282%29%282a%2B3d%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B3d=6 ALIGN=MIDDLE  ALT=\"2a%2B3d=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the system<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%2Bd=7%2C+2a%2B3d=6%29 ALIGN=MIDDLE  ALT=\"system%28a%2Bd=7%2C+2a%2B3d=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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