document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040863>Question 1040863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A geometric progression has a positive common ratio,and the sixth term is (5/4)^4,The sum of the first three terms and the sum of the third,fourth and fifth terms are in the ratio 16:25.Find the sum of the first three terms? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655781 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B6%5D+=+%285%2F4%29%5E4 ALIGN=MIDDLE  ALT=\"a%5B6%5D+=+%285%2F4%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and \r<BR>\n" );
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document.write( "2)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B3%5D%2F%28a%5B3%5D%2Ba%5B4%5D%2Ba%5B5%5D%29+=+16%2F25 ALIGN=MIDDLE  ALT=\"S%5B3%5D%2F%28a%5B3%5D%2Ba%5B4%5D%2Ba%5B5%5D%29+=+16%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "From #2,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B3%5D%2F%28a%5B3%5D%2Ba%5B4%5D%2Ba%5B5%5D%29+=+S%5B3%5D%2F%28S%5B5%5D-S%5B2%5D%29+=+16%2F25 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5B1%5D%2A%28r%5E3-1%29%2F%28r-1%29%29%2F%28a%5B1%5D%2A%28r%5E5-1%29%2F%28r-1%29+-++a%5B1%5D%2A%28r%5E2-1%29%2F%28r-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5E3-1%29%2F%28r%5E5-1-%28r%5E2-1%29%29+=+%28r%5E3-1%29%2F%28r%5E5-r%5E2%29+=+%28r%5E3-1%29%2F%28r%5E2%2A%28r%5E3-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fr%5E2+=+16%2F25 ALIGN=MIDDLE  ALT=\"1%2Fr%5E2+=+16%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=25%2F16 ALIGN=MIDDLE  ALT=\"r%5E2=25%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> r= 5/4, since r > 0 as stipulated.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B6%5D+=+a%5B1%5D%2Ar%5E5+=+%285%2F4%29%5E4 ALIGN=MIDDLE  ALT=\"a%5B6%5D+=+a%5B1%5D%2Ar%5E5+=+%285%2F4%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2A%285%2F4%29%5E5+=+%285%2F4%29%5E4 ALIGN=MIDDLE  ALT=\"a%5B1%5D%2A%285%2F4%29%5E5+=+%285%2F4%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+4%2F5 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B3%5D+=+%284%2F5%29%2A%28%28%285%2F4%29%5E3-1%29%2F%285%2F4-1%29%29+=+highlight%2861%2F20%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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