document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127671>Question 1127671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first three terms of a G.P are x+1, x+3 and x+8, find,<BR>\n" );
document.write( "i) The Value of x<BR>\n" );
document.write( "ii) The common ratio<BR>\n" );
document.write( "iii) The sum of the first 15 terms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744121 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the general form of a geometric progression(GP) is\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28n%29+=+ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%28n%29+=+ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = first term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+ ALIGN=MIDDLE  ALT=\"r+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is the common ratio\r<BR>\n" );
document.write( "\n" );
document.write( "we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+x+%2B+1 ALIGN=MIDDLE  ALT=\"a+=+x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+x+%2B+1 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D+=+x+%2B+3+=+%28x+%2B+1%29%2Ar ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+x+%2B+3+=+%28x+%2B+1%29%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D+=+x+%2B+8+=+%28x+%2B+1%29r%5E2 ALIGN=MIDDLE  ALT=\"a%5B3%5D+=+x+%2B+8+=+%28x+%2B+1%29r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D ALIGN=MIDDLE  ALT=\"a%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%28x+%2B+3%29+%2F+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"r+=+%28x+%2B+3%29+%2F+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D ALIGN=MIDDLE  ALT=\"a%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+%28x+%2B8+%29+%2F+%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"r%5E2+=+%28x+%2B8+%29+%2F+%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "then, \r<BR>\n" );
document.write( "\n" );
document.write( "i) The Value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B8%29+%2F+%28x+%2B+1%29+=+%28x%2B+3%29%5E2+%2F+%28x+%2B+1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B8%29+%2F+%28x+%2B+1%29+=+%28x%2B+3%29%5E2+%2F+%28x+%2B+1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "cross multiply the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B8%29+%2A+%28x+%2B+1%29%5E2+=+%28x+%2B+3%29%5E2+%2A+%28x+%2B1%29 ALIGN=MIDDLE  ALT=\"%28x+%2B8%29+%2A+%28x+%2B+1%29%5E2+=+%28x+%2B+3%29%5E2+%2A+%28x+%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B8%29+%2A+%28x+%2B+1%29+=+%28x+%2B+3%29%5E2+ ALIGN=MIDDLE  ALT=\"%28x+%2B8%29+%2A+%28x+%2B+1%29+=+%28x+%2B+3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+x%2B8x%2B8+=+x%5E2+%2B+6x%2B9+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+x%2B8x%2B8+=+x%5E2+%2B+6x%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++9x%2B8+=++6x%2B9+ ALIGN=MIDDLE  ALT=\"++9x%2B8+=++6x%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++9x-6x=++9-8+ ALIGN=MIDDLE  ALT=\"++9x-6x=++9-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3x=++1+ ALIGN=MIDDLE  ALT=\"++3x=++1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++x=++1%2F3+ ALIGN=MIDDLE  ALT=\"++x=++1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "then\r<BR>\n" );
document.write( "\n" );
document.write( "ii) The common ratio\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%281%2F3+%2B+3%29+%2F+%281%2F3+%2B+1%29+=+%2810%2F3%29+%2F+%284%2F3%29+=+10%2F4=5%2F2 ALIGN=MIDDLE  ALT=\"r+=+%281%2F3+%2B+3%29+%2F+%281%2F3+%2B+1%29+=+%2810%2F3%29+%2F+%284%2F3%29+=+10%2F4=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "iii) The sum of the first 15 terms.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+x%2B1+=+1%2F3+%2B+1+=+4%2F3 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+x%2B1+=+1%2F3+%2B+1+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the general form of a geometric progression(GP) is\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+%284%2F3%29%285%2F2%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+%284%2F3%29%285%2F2%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the first 15 terms\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+4%2F3 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D+=%284%2F3%29%285%2F2%29=10%2F3 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=%284%2F3%29%285%2F2%29=10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D+=+%284%2F3%29%285%2F2%29%5E2=%284%2F3%29%2825%2F4%29=25%2F3 ALIGN=MIDDLE  ALT=\"a%5B3%5D+=+%284%2F3%29%285%2F2%29%5E2=%284%2F3%29%2825%2F4%29=25%2F3\"   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+=+%284%2F3%29%285%2F2%29%5E3=+%284%2F3%29%28125%2F8%29=125%2F6 ALIGN=MIDDLE  ALT=\"a%5B4%5D+=+%284%2F3%29%285%2F2%29%5E3=+%284%2F3%29%28125%2F8%29=125%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B5%5D+=+%284%2F3%29%285%2F2%29%5E4=+%284%2F3%29%28625%2F16%29=625%2F12 ALIGN=MIDDLE  ALT=\"a%5B5%5D+=+%284%2F3%29%285%2F2%29%5E4=+%284%2F3%29%28625%2F16%29=625%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B6%5D+=+%284%2F3%29%285%2F2%29%5E5=+%284%2F3%29%283125%2F32%29=3125%2F24 ALIGN=MIDDLE  ALT=\"a%5B6%5D+=+%284%2F3%29%285%2F2%29%5E5=+%284%2F3%29%283125%2F32%29=3125%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B7%5D+=+%284%2F3%29%285%2F2%29%5E6=+%284%2F3%29%2815625%2F64%29=15625%2F48 ALIGN=MIDDLE  ALT=\"a%5B7%5D+=+%284%2F3%29%285%2F2%29%5E6=+%284%2F3%29%2815625%2F64%29=15625%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B8%5D+=+%284%2F3%29%285%2F2%29%5E7=+%284%2F3%29%2878125%2F128%29=78125%2F96 ALIGN=MIDDLE  ALT=\"a%5B8%5D+=+%284%2F3%29%285%2F2%29%5E7=+%284%2F3%29%2878125%2F128%29=78125%2F96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B9%5D+=+%284%2F3%29%285%2F2%29%5E8=+%284%2F3%29%28390625%2F256%29=390625%2F192 ALIGN=MIDDLE  ALT=\"a%5B9%5D+=+%284%2F3%29%285%2F2%29%5E8=+%284%2F3%29%28390625%2F256%29=390625%2F192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B10%5D+=+%284%2F3%29%285%2F2%29%5E9=+%284%2F3%29%281953125%2F512%29=1953125%2F384 ALIGN=MIDDLE  ALT=\"a%5B10%5D+=+%284%2F3%29%285%2F2%29%5E9=+%284%2F3%29%281953125%2F512%29=1953125%2F384\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B11%5D+=+%284%2F3%29%285%2F2%29%5E10=+%284%2F3%29%289765625%2F1024%29=9765625%2F768 ALIGN=MIDDLE  ALT=\"a%5B11%5D+=+%284%2F3%29%285%2F2%29%5E10=+%284%2F3%29%289765625%2F1024%29=9765625%2F768\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B12%5D+=+%284%2F3%29%285%2F2%29%5E11=+%284%2F3%29%2848828125%2F2048%29=48828125%2F1536 ALIGN=MIDDLE  ALT=\"a%5B12%5D+=+%284%2F3%29%285%2F2%29%5E11=+%284%2F3%29%2848828125%2F2048%29=48828125%2F1536\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B13%5D+=+%284%2F3%29%285%2F2%29%5E12=+%284%2F3%29%28244140625%2F4096%29=244140625%2F3072 ALIGN=MIDDLE  ALT=\"a%5B13%5D+=+%284%2F3%29%285%2F2%29%5E12=+%284%2F3%29%28244140625%2F4096%29=244140625%2F3072\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B14%5D+=+%284%2F3%29%285%2F2%29%5E13=+%284%2F3%29%281220703125%2F8192%29=1220703125%2F6144 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B15%5D+=+%284%2F3%29%285%2F2%29%5E14=+%284%2F3%29%286103515625%2F16384%29=6103515625%2F12288 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the sum is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F3%2B10%2F3%2B25%2F3%2B125%2F6%2B625%2F12%2B3125%2F24%2B15625%2F48%2B78125%2F96%2B390625%2F192%2B1953125%2F384%2B9765625%2F768%2B48828125%2F1536%2B244140625%2F3072%2B1220703125%2F6144%2B6103515625%2F12288=3390838373%2F4096 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > &asymp; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=827841.399 ALIGN=MIDDLE  ALT=\"827841.399\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );