document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953585>Question 953585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first 10 terms of an arithmetic progression is -145 and the common difference is 4.5. What is the value of the 6th term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582388 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=582388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the first 10 terms of an arithmetic progression is -145 and the common difference is 4.5. What is the value of the 6th term?<BR>\n" );
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document.write( "Sum = (n/2)(a + L)<BR>\n" );
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document.write( "5(a + a(10)) = -145<BR>\n" );
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document.write( "5(a + a + 9*4.5) = -145<BR>\n" );
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document.write( "2a + 40.5 = -29<BR>\n" );
document.write( "2a = -69.5<BR>\n" );
document.write( "a = -34.75<BR>\n" );
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document.write( "Ans: a(6) = -34.75 + (5)*4.5 = -12.25<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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