document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475304>Question 475304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a formula for the nth term of the infinite sequence. Do not use a recursion formula.\r<BR>\n" );
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document.write( "1, 1/4,1/9,1/16/,1/25 show work<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325914 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well set up a table to relate n to An, when An refers to the nth term of the sequence.<BR>\n" );
document.write( "n =  1,  2,   3,   4,   5  ... n<BR>\n" );
document.write( "An = 1, 1/4, 1/9, 1/16, 1/25 ... ?<BR>\n" );
document.write( "Now try to establish a pattern.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+=+1%2F2%5E2+=+1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"1%2F4+=+1%2F2%5E2+=+1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9+=+1%2F3%5E2+=+1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"1%2F9+=+1%2F3%5E2+=+1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F16+=+1%2F4%5E2+=+1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"1%2F16+=+1%2F4%5E2+=+1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F25+=+1%2F5%5E2+=+1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"1%2F25+=+1%2F5%5E2+=+1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice how the relationship remains constant for each n.<BR>\n" );
document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=An+=+1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"An+=+1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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