document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880017>Question 880017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in an arithmetic sequence the ratio of first term to second term is 2:3 .what is the ratio of third to fifth term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531488 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets try a few examples<BR>\n" );
document.write( "2,3,4,5,6<BR>\n" );
document.write( "2/3=2/3\r<BR>\n" );
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document.write( "4/6=2/3\r<BR>\n" );
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document.write( "4,6,8,10,12<BR>\n" );
document.write( "4/6=2/3<BR>\n" );
document.write( "8/12=2/3\r<BR>\n" );
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document.write( "looks like the third and fifth are also 2:3\r<BR>\n" );
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document.write( "a,a+d,a+2d,a+3d,a+4d<BR>\n" );
document.write( "a/(a+d)=2/3<BR>\n" );
document.write( "3a=2a+2d<BR>\n" );
document.write( "a=2d\r<BR>\n" );
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document.write( "(a+2d)/(a+4d)<BR>\n" );
document.write( "2a/3a=2/3<BR>\n" );
document.write( "So yes it holds true for all arithmetic series. \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );