document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190303>Question 1190303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this math problem:If the 10th term of a G.P is given 2^10 and the 20th term is given as 2^19.Find the first term, common ratio and the sum of the nth term  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821922 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=821922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "general formula for nth term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >th term of a G.P is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E10 ALIGN=MIDDLE  ALT=\"2%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E10=a%2Ar%5E%2810-1%29 ALIGN=MIDDLE  ALT=\"2%5E10=a%2Ar%5E%2810-1%29\"   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%5E10=a%2Ar%5E9 ALIGN=MIDDLE  ALT=\"2%5E10=a%2Ar%5E9\"   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=a=2%5E10%2Fr%5E9 ALIGN=MIDDLE  ALT=\"a=2%5E10%2Fr%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1\r<BR>\n" );
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document.write( "if the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" >th term is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E19 ALIGN=MIDDLE  ALT=\"2%5E19\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E19=a%2Ar%5E%2820-1%29 ALIGN=MIDDLE  ALT=\"2%5E19=a%2Ar%5E%2820-1%29\"   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=a=2%5E19%2Fr%5E19 ALIGN=MIDDLE  ALT=\"a=2%5E19%2Fr%5E19\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.2\r<BR>\n" );
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document.write( "from eq.1 and eq.2 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E10%2Fr%5E9=2%5E19%2Fr%5E19 ALIGN=MIDDLE  ALT=\"2%5E10%2Fr%5E9=2%5E19%2Fr%5E19\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve 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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E19%2Fr%5E9=2%5E19%2F2%5E10 ALIGN=MIDDLE  ALT=\"r%5E19%2Fr%5E9=2%5E19%2F2%5E10\"   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=r%5E10=2%5E9 ALIGN=MIDDLE  ALT=\"r%5E10=2%5E9\"   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=r+=+2%5E%289%2F10%29 ALIGN=MIDDLE  ALT=\"r+=+2%5E%289%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%5E10%2Fr%5E9 ALIGN=MIDDLE  ALT=\"a=2%5E10%2Fr%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1, substitute<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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%5E10%2F%282%5E%289%2F10%29%29%5E9 ALIGN=MIDDLE  ALT=\"a=2%5E10%2F%282%5E%289%2F10%29%29%5E9\"   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=a=2%5E10%2F2%5E%2881%2F10%29 ALIGN=MIDDLE  ALT=\"a=2%5E10%2F2%5E%2881%2F10%29\"   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=a=2%2A+2%5E%289%2F10%29 ALIGN=MIDDLE  ALT=\"a=2%2A+2%5E%289%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, \r<BR>\n" );
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document.write( "first term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2%2A2%5E%289%2F10%29 ALIGN=MIDDLE  ALT=\"a+=+2%2A2%5E%289%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  common ratio is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+2%5E%289%2F10%29 ALIGN=MIDDLE  ALT=\"r+=+2%5E%289%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your nth term formula is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=+2%2A2%5E%289%2F10%29%2A%28+2%5E%289%2F10%29%29%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=+2%2A2%5E%289%2F10%29%2A%28+2%5E%289%2F10%29%29%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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