document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853285>Question 853285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does the infinite geometric series diverge or converge? Explain.\r<BR>\n" );
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document.write( "2+6+18+54+...\r<BR>\n" );
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document.write( "a - It diverges: it does not have a sum.<BR>\n" );
document.write( "b - It converges: it does not have a sum<BR>\n" );
document.write( "c - It diverges: it has a sum<BR>\n" );
document.write( "d - It converges: it has a sum </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514000 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "It diverges; it does not have a sum.\r\n" );
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document.write( "Reason: a geometric series converges if and only if\r\n" );
document.write( "the common ratio, r, is such that |r| < 1, and\r\n" );
document.write( "diverges if |r|>=1.  The common ratio here is r = 3.\r\n" );
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document.write( "Edwin</PRE><BR>\n" );
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