document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183578>Question 1183578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A geometric progression has a third term equal to 48 and fifth term equal to 768.\r<BR>\n" );
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document.write( "a.	Find the possible values of the common ratio. <BR>\n" );
document.write( "b.	 Find the sum of the first seven terms of the geometric<BR>\n" );
document.write( "     progression, taking the positive value of the common ratio.\r<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 #813960 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=813960\">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=g%5B3%5D+=+48 ALIGN=MIDDLE  ALT=\"g%5B3%5D+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B5%5D+=+768 ALIGN=MIDDLE  ALT=\"g%5B5%5D+=+768\"   DISABLED_style= \"max-width:90%; height:auto;\" >, along with the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B5%5D+=+r%5E2%2Ag%5B3%5D ALIGN=MIDDLE  ALT=\"g%5B5%5D+=+r%5E2%2Ag%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=768+=+48r%5E2 ALIGN=MIDDLE  ALT=\"768+=+48r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+16 ALIGN=MIDDLE  ALT=\"r%5E2+=+16\"   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=r+=+%2B-+4 ALIGN=MIDDLE  ALT=\"r+=+%2B-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <--- part (a)\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B3%5D+=+48+=+g%5B1%5D%2Ar%5E2+=+16g%5B1%5D ALIGN=MIDDLE  ALT=\"g%5B3%5D+=+48+=+g%5B1%5D%2Ar%5E2+=+16g%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"g%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The sum of the first n terms of a geometric series is given by the formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+g%5B1%5D%2A%28%281-r%5En%29%2F%281-r%29%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+g%5B1%5D%2A%28%281-r%5En%29%2F%281-r%29%29\"   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%5B7%5D+=+3%2A%28%281-4%5E7%29%2F%281-4%29%29+=+16383 ALIGN=MIDDLE  ALT=\"S%5B7%5D+=+3%2A%28%281-4%5E7%29%2F%281-4%29%29+=+16383\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- part (b) </SPAN>\n" );
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