document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210552>Question 1210552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls help me and solve this sequence:<BR>\n" );
document.write( "The first and the third terms of a G.P  are 5 and 80 respectively. find the 4th term </SPAN>\n" );
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document.write( "The 3rd term is the 1st term, multiplied by the common ratio twice:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80=5r%5E2 ALIGN=MIDDLE  ALT=\"80=5r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve to find the common ratio r.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80=5r%5E2 ALIGN=MIDDLE  ALT=\"80=5r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=r%5E2 ALIGN=MIDDLE  ALT=\"16=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4 ALIGN=MIDDLE  ALT=\"r=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-4 ALIGN=MIDDLE  ALT=\"r=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The 4th term is the 3rd term, multiplied by the common ratio one more time.<br><BR>\n" );
document.write( "Since there are two possible values for the common ratio, there are two possibilities for the 4th term.<br><BR>\n" );
document.write( "Since the problem asks us to find \"the\" 4th term, perhaps the question is at an elementary level and they expect us to use only positive numbers.  In that case, the 4th term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2A4=320 ALIGN=MIDDLE  ALT=\"80%2A4=320\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "But another possible value for the 4th term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2A%28-4%29=-320 ALIGN=MIDDLE  ALT=\"80%2A%28-4%29=-320\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "possibly 320<BR>\n" );
document.write( "or, more correctly, either 320 or -320<br><BR>\n" );
document.write( " </SPAN>\n" );
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