document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126680>Question 126680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?<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 #92817 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?\r<BR>\n" );
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document.write( "Answer,\r<BR>\n" );
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document.write( "The nth term of a geometric series is given by the formula,\r<BR>\n" );
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document.write( "n th term = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28r%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"+a%28r%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where r is the common ratio and a is the first term.\r<BR>\n" );
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document.write( "So, fourth term = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28r%29%5E3 ALIGN=MIDDLE  ALT=\"+a%28r%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here first term is given as 2and fourth term is 16.\r<BR>\n" );
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document.write( "so,  16 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28r%29%5E3 ALIGN=MIDDLE  ALT=\"+2%28r%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide both sides by 2\r<BR>\n" );
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document.write( "==> 16/3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%28r%29%5E3%29%2F2 ALIGN=MIDDLE  ALT=\"+%282%28r%29%5E3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> 8 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   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=+2%5E3+=+r%5E3 ALIGN=MIDDLE  ALT=\"+2%5E3+=+r%5E3\"   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=+2+=+r+ ALIGN=MIDDLE  ALT=\"+2+=+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is common ratio is 2.\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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