document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716610>Question 716610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the common ratio of 1^2,2^2,3^2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439905 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is no common ratio.<BR>\n" );
document.write( "That sequence is not a geometric sequence/progression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2%2F1%5E2=4%2F1=4 ALIGN=MIDDLE  ALT=\"2%5E2%2F1%5E2=4%2F1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2F2%5E2=9%2F4%3C%3E4 ALIGN=MIDDLE  ALT=\"3%5E2%2F2%5E2=9%2F4%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is not the same ratio.<BR>\n" );
document.write( "Those ratios have nothing in common.<BR>\n" );
document.write( "The sequence 1^2, 2^2, 3^2, ... <BR>\n" );
document.write( "can be thought of as the sum of the arithmetic sequence of the odd numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=2n-1 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=2n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=1 ALIGN=MIDDLE  ALT=\"a%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2 ALIGN=MIDDLE  ALT=\"d=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives you 1, 3, 5, 7, ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5Bn%5D=n%5E2=sum%282i-1%2C1%2Cn%29 ALIGN=MIDDLE  ALT=\"c%5Bn%5D=n%5E2=sum%282i-1%2C1%2Cn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives you<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5B1%5D=1 ALIGN=MIDDLE  ALT=\"c%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5B2%5D=4=1%2B3 ALIGN=MIDDLE  ALT=\"c%5B2%5D=4=1%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5B3%5D=9=1%2B3%2B5 ALIGN=MIDDLE  ALT=\"c%5B3%5D=9=1%2B3%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5B4%5D=16=1%2B3%2B5%2B7 ALIGN=MIDDLE  ALT=\"c%5B4%5D=16=1%2B3%2B5%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5B5%5D=25=1%2B3%2B5%2B7%2B9 ALIGN=MIDDLE  ALT=\"c%5B5%5D=25=1%2B3%2B5%2B7%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and so on. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );