document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925566>Question 925566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Insert 4 geometric means between 1/8 and 64.\r<BR>\n" );
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document.write( "I've worked on this so far:\r<BR>\n" );
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document.write( "an = a&#8321;r^n – 1<BR>\n" );
document.write( "a&#8321; = 1/8, a&#8326; = 64<BR>\n" );
document.write( "64 = (1/8)r&#8310;&#8315;'<BR>\n" );
document.write( "r&#8309; = 512<BR>\n" );
document.write( "r = 4\r<BR>\n" );
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document.write( "an = a&#8321;r^n – 1<BR>\n" );
document.write( "an = (1/8)(4)4^n – 1\r<BR>\n" );
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document.write( "and I don't know if I'm wrong or not, so please let me know if I am. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561601 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+an+=+a1%2A+r%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+an+=+a1%2A+r%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " a1 = 1/8<BR>\n" );
document.write( "a6=64<BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64=+%281%2F8%29+%2A+r+%5E%286-1%29 ALIGN=MIDDLE  ALT=\"+64=+%281%2F8%29+%2A+r+%5E%286-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+=%281%2F8%29%2Ar%5E5 ALIGN=MIDDLE  ALT=\"+64+=%281%2F8%29%2Ar%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       move 8 to th right<BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64%2A8++=+r%5E5 ALIGN=MIDDLE  ALT=\"+64%2A8++=+r%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512+=+r%5E5 ALIGN=MIDDLE  ALT=\"512+=+r%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            here \"r\" is not equals to 4<BR>\n" );
document.write( "       <BR>\n" );
document.write( "            r= 3.48<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a2++=%281%2F8%29+%2A+%283.48%29%5E%282-1%29 ALIGN=MIDDLE  ALT=\"+a2++=%281%2F8%29+%2A+%283.48%29%5E%282-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a2=0.435 ALIGN=MIDDLE  ALT=\"+a2=0.435\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a3+=+%281%2F8%29%2A+%283.48%29%5E%283-1%29 ALIGN=MIDDLE  ALT=\"+a3+=+%281%2F8%29%2A+%283.48%29%5E%283-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%2A3.48%5E2 ALIGN=MIDDLE  ALT=\"%281%2F8%29%2A3.48%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         =1.5138<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a4++=+%281%2F8%29%2A+%283.48%29%5E%284-1%29 ALIGN=MIDDLE  ALT=\"+a4++=+%281%2F8%29%2A+%283.48%29%5E%284-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F8%29%2A+42.14 ALIGN=MIDDLE  ALT=\"+%281%2F8%29%2A+42.14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         =5.26<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a5++=++%281%2F8%29%2A+3.48%5E%285-1%29 ALIGN=MIDDLE  ALT=\"+a5++=++%281%2F8%29%2A+3.48%5E%285-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          =18.33<BR>\n" );
document.write( "so four geometric means  = 0.435 , 1.5138,5.26,18.33\r<BR>\n" );
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document.write( "Remarks:  As per my observation , r may not be 3.48. I hope there is mistake in the problem. it should be  1/16 instead of 1/8<BR>\n" );
document.write( "            then r = 4<BR>\n" );
document.write( "              a2  = 1/4<BR>\n" );
document.write( "              a3 = 1<BR>\n" );
document.write( "               a4 = 4<BR>\n" );
document.write( "            a5  =16<BR>\n" );
document.write( "            <BR>\n" );
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document.write( "          </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );