document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177532>Question 1177532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 2nd, 4th and 8th terms of an arithmetic progression are the three consecutive terms of a geometric progression and the 11th term of an arithmetric progression is 22.\r<BR>\n" );
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document.write( "i) Find the first term and common difference if the arithmetic progression\r<BR>\n" );
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document.write( "ii) What is the common ratio of the geometric progression </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806581 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a+d , a+3d , a+7d\r<BR>\n" );
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document.write( "(a+3d)/(a+d) = (a+7d)/(a+3d)\r<BR>\n" );
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document.write( "(a+3d)^2 = (a+d)(a+7d)\r<BR>\n" );
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document.write( "a^2 +6ad +9d^2 = a^2+7ad +ad +7d^2\r<BR>\n" );
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document.write( "2ad-2d^2 =0\r<BR>\n" );
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document.write( "2d(a-d)=0\r<BR>\n" );
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document.write( "a=d.\r<BR>\n" );
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document.write( "a+10d =22<BR>\n" );
document.write( "a=d<BR>\n" );
document.write( "11d=22<BR>\n" );
document.write( "d=2, a=2\r<BR>\n" );
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document.write( "Ratio <BR>\n" );
document.write( "(a+7d)/(a+3d)= 16/8 =2 </SPAN>\n" );
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