document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190692>Question 190692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use inductive reasoning to determine the next three numbers in the pattern:<BR>\n" );
document.write( "1;1/3;1/9;1/27;...\r<BR>\n" );
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document.write( "My Reasoning:\r<BR>\n" );
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document.write( "I thought that 3 times 3 (from 1/3) is 9 and 3 times 9 (from the 1/9) is 27. So the next numbers would be 1/81;1/243;1/729 but I wasn't sure<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 #143195 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=143195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1 ---> 1/3  .... divide 1 by 3\r<BR>\n" );
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document.write( "1/3 ---> 1/9  .... divide 1/3 by 3 .... (1/3)/(3)=(1/3)(1/3)=1/9\r<BR>\n" );
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document.write( "1/9 ---> 1/27  .... divide 1/9 by 3 .... (1/9)/(3)=(1/9)(1/3)=1/27\r<BR>\n" );
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document.write( "etc...\r<BR>\n" );
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document.write( "Rule: divide term by 3 to get next term\r<BR>\n" );
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document.write( "1/27 ---> 1/81  .... divide 1/27 by 3 .... (1/27)/(3)=(1/27)(1/3)=1/81\r<BR>\n" );
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document.write( "1/81 ---> 1/243  .... divide 1/81 by 3 .... (1/81)/(3)=(1/81)(1/3)=1/243\r<BR>\n" );
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document.write( "1/243 ---> 1/729  .... divide 1/243 by 3 .... (1/243)/(3)=(1/243)(1/3)=1/729\r<BR>\n" );
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document.write( "Next 3 terms: 1/81, 1/243, 1/729  </SPAN>\n" );
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