document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412077>Question 412077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can somebody please help me with this question I don't understand it\r<BR>\n" );
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document.write( "The 8th term of an arithmetic sequence is 25 and the 20th term is -11. Find the first term of the sequence and the common difference and use those to write the general term. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289493 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=289493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 8th term of an arithmetic sequence is 25 and the 20th term is -11. Find the first term of the sequence and the common difference and use those to write the general term.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "a + 7d = 25<BR>\n" );
document.write( "a + 19d=-11<BR>\n" );
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document.write( "Subtract and solve for \"d\":<BR>\n" );
document.write( "26d = 36<BR>\n" );
document.write( "d = 18/13 (common difference)<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a + 7d = 25<BR>\n" );
document.write( "a + 7(18/13) = 25<BR>\n" );
document.write( "a + 126/13 = 325/13<BR>\n" );
document.write( "a + 126/13 = 262/13<BR>\n" );
document.write( "a = 199/13 (1st term)<BR>\n" );
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document.write( "General term:<BR>\n" );
document.write( "a(n) = 199/13 + (n-1)(18/13)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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