document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934777>Question 934777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an arithmetic progression, 8th term is 8 and sum of the first 16 terms is 144. 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 #567797 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=567797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> General term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D=A%5B1%5D%2Bd%2A%28n-1%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D=A%5B1%5D%2Bd%2A%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is the basic formula for arithmetic sequence.\r<BR>\n" );
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document.write( "Sum of terms, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%28n%2F2%29%28A%5B1%5D%2BA%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"S=%28n%2F2%29%28A%5B1%5D%2BA%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This formula can be derived and can also be found in your textbook used as a reference.  S means SUM.\r<BR>\n" );
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document.write( "Problem description means  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28A%5B1%5D%2B%287%29d=8%2C%2816%2F2%29%28A%5B1%5D%2B%28A%5B1%5D%2Bd%2A%2815%29%29%29=144%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "what you get when using the data from your problem description, of final n being n=16, and n=8 for the given term at index 8.  Note carefully, the eigth term is n=8 and is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B8%5D=8 ALIGN=MIDDLE  ALT=\"A%5B8%5D=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The summation of the first sixteen terms is based on n=16.  \r<BR>\n" );
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document.write( "The rest of the process is simplification.\r<BR>\n" );
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document.write( "two equations with two unknown variables.  Solve the system.<BR>\n" );
document.write( "HINT: Start with Elimination Method, for a faster solution process. </SPAN>\n" );
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