document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852712>Question 852712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the 6th term is 18 and the 8th term is 32 what is the 7th term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513621 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which kind of series? A, G or H?<BR>\n" );
document.write( "Arithmetic<BR>\n" );
document.write( "an = a + (n - 1)d<BR>\n" );
document.write( "18 = a + 5d<BR>\n" );
document.write( "32 = a + 7d<BR>\n" );
document.write( "a = -17,   d = 7<BR>\n" );
document.write( "a7 = -17 + 6*7<BR>\n" );
document.write( "a7=42-17<BR>\n" );
document.write( "a7=25\r<BR>\n" );
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document.write( "geometric\r<BR>\n" );
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document.write( "Tn = t * r^(n - 1)<BR>\n" );
document.write( "18 = t * r^(5),<BR>\n" );
document.write( "32 = t * r^(7)<BR>\n" );
document.write( "r = -4/3,   t = -2187/512<BR>\n" );
document.write( "and<BR>\n" );
document.write( "r = 4/3,   t = 2187/512<BR>\n" );
document.write( "T = 2187/512 * 4/3^(6)<BR>\n" );
document.write( "t=24\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );