document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109439>Question 1109439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first 4 terms of a geometric series is 15 and the sum of the next 4 terms is 240 determine the positive  constant ratio<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 #724481 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2Ba%5B2%5D%2Ba%5B3%5D%2Ba%5B4%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D%2Ba%5B2%5D%2Ba%5B3%5D%2Ba%5B4%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2A%281+%2B+r+%2B+r%5E2+%2B+r%5E3%29 ALIGN=MIDDLE  ALT=\"a%5B1%5D%2A%281+%2B+r+%2B+r%5E2+%2B+r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 15.       (1)    (given)\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B5%5D%2Ba%5B6%5D%2Ba%5B7%5D%2Ba%5B8%5D ALIGN=MIDDLE  ALT=\"a%5B5%5D%2Ba%5B6%5D%2Ba%5B7%5D%2Ba%5B8%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2Ar%5E4%2A%281+%2B+r+%2B+r%5E2+%2B+r%5E3%29 ALIGN=MIDDLE  ALT=\"a%5B1%5D%2Ar%5E4%2A%281+%2B+r+%2B+r%5E2+%2B+r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 240.    (2)    (given)\r\n" );
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document.write( "Now divide eq(2) by eq(1). You will get\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E4 ALIGN=MIDDLE  ALT=\"r%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F15 ALIGN=MIDDLE  ALT=\"240%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16.\r\n" );
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document.write( "The positive constant ratio is  r = 16^(1/4) = 2.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "On geometric progressions, see introductory lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Geometric-progressions.lesson>Geometric progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/The-proofs-of-the-formulas-for-geometric-progressions.lesson>The proofs of the formulas for geometric progressions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Problems-on-geometric-progressions.lesson>Problems on geometric progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Word-problems-on-geometric-progressions.lesson>Word problems on geometric progressions</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic <U>\"Geometric progressions\"</U>.\r<BR>\n" );
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document.write( "Save the link to this textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-II<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "into your archive and use when it is needed.\r<BR>\n" );
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