document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891695>Question 891695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of first 20 and 50 terms of an AP is 420 and 2550. Find the eleventh term of a GP whose first term is the same as the AP and the common ratio is equal tithe common difference of the AP ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539952 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the first n terms of an AP is given by \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D+=+%28n%2F2%29%2A%282%2Aa%5B1%5D+%2B+%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"A%5Bn%5D+=+%28n%2F2%29%2A%282%2Aa%5B1%5D+%2B+%28n-1%29d%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%5B20%5D+=+10%282%2Aa%5B1%5D+%2B+19d%29+=+420+ ALIGN=MIDDLE  ALT=\"A%5B20%5D+=+10%282%2Aa%5B1%5D+%2B+19d%29+=+420+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B50%5D+=+25%282%2Aa%5B1%5D+%2B+49d%29+=+2550 ALIGN=MIDDLE  ALT=\"A%5B50%5D+=+25%282%2Aa%5B1%5D+%2B+49d%29+=+2550\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aa%5B1%5D+%2B+19d+=+42+ ALIGN=MIDDLE  ALT=\"2%2Aa%5B1%5D+%2B+19d+=+42+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aa%5B1%5D+%2B+49d+=+102+ ALIGN=MIDDLE  ALT=\"2%2Aa%5B1%5D+%2B+49d+=+102+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving these equations give\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+d+=+2 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+d+=+2\"   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=g%5B11%5D+=+g%5B1%5D%2Ar%5E%2811-1%29+=+2%2A2%5E10+=+2%5E11+=+2048 ALIGN=MIDDLE  ALT=\"g%5B11%5D+=+g%5B1%5D%2Ar%5E%2811-1%29+=+2%2A2%5E10+=+2%5E11+=+2048\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );