document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769801>Question 769801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the difference between the 3rd and the 1st term of a G.P is 42, and the 4th term is greater than the 2nd term by 168, what is the (1) common ratio, (2) 1st term. (3) 4th term of the progression </SPAN>\n" );
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document.write( "If the difference between the 3rd and the 1st term of a G.P is 42, and the 4th term is greater than the 2nd term by 168, what is the (1) common ratio, (2) 1st term. (3) 4th term of the progression<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D+-+a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B3%5D+-+a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 42 ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5Dr%5E2+-+a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5Dr%5E2+-+a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 42 -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%28r%5E2-1%29 ALIGN=MIDDLE  ALT=\"42%2F%28r%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B4%5D-a%5B2%5D ALIGN=MIDDLE  ALT=\"a%5B4%5D-a%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 168 ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5Dr%5E3-a%5B1%5Dr ALIGN=MIDDLE  ALT=\"a%5B1%5Dr%5E3-a%5B1%5Dr\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 168 ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168%2F%28r%5E3-r%29 ALIGN=MIDDLE  ALT=\"168%2F%28r%5E3-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%28r%5E2-1%29 ALIGN=MIDDLE  ALT=\"42%2F%28r%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168%2F%28r%5E3-r%29 ALIGN=MIDDLE  ALT=\"168%2F%28r%5E3-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42r%5E3+-+42r ALIGN=MIDDLE  ALT=\"42r%5E3+-+42r\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=168r%5E2+-+168 ALIGN=MIDDLE  ALT=\"168r%5E2+-+168\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42r%5E3+-+168r%5E2+-+42r+%2B+168 ALIGN=MIDDLE  ALT=\"42r%5E3+-+168r%5E2+-+42r+%2B+168\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0, divide by 42<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3+-+4r%5E2+-+r+%2B+4 ALIGN=MIDDLE  ALT=\"r%5E3+-+4r%5E2+-+r+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "(r - 1)(r + 1)(r - 4) = 0<BR>\n" );
document.write( "r = 1, -1, or 4<BR>\n" );
document.write( "Disregard r = 1 and -1 because it will make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > undefined.<BR>\n" );
document.write( "common ratio, r =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%29 ALIGN=MIDDLE  ALT=\"highlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1st term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%284%5E2-1%29 ALIGN=MIDDLE  ALT=\"42%2F%284%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2814%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%2814%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4th term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B4%5D ALIGN=MIDDLE  ALT=\"a%5B4%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5Dr%5E3 ALIGN=MIDDLE  ALT=\"a%5B1%5Dr%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2F5%29%2A%284%5E3%29 ALIGN=MIDDLE  ALT=\"%2814%2F5%29%2A%284%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28896%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28896%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );