document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=361872>Question 361872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to determine whether the series converges or diverges?\r<BR>\n" );
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document.write( "1/16+1/49+1/100+1/169+...<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 #257942 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=257942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given series can be obtained by deleting infinitely many number of terms from the p-series <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F2%5Ep+%2B+1%2F3%5Ep%2B+1%2F4%5Ep+ ALIGN=MIDDLE  ALT=\"1%2B1%2F2%5Ep+%2B+1%2F3%5Ep%2B+1%2F4%5Ep+\"   DISABLED_style= \"max-width:90%; height:auto;\" >+...+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn%5Ep ALIGN=MIDDLE  ALT=\"1%2Fn%5Ep\"   DISABLED_style= \"max-width:90%; height:auto;\" >+..., with p = 2.  In such case the p-series is absolutely convergent.  Since the given series is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F4%5E2+%2B+1%2F7%5E2+%2B+1%2F10%5E2+ ALIGN=MIDDLE  ALT=\"1%2B1%2F4%5E2+%2B+1%2F7%5E2+%2B+1%2F10%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >+...+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fn%5E2 ALIGN=MIDDLE  ALT=\"1%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+..., the series is also absolutely convergent, and consequently convergent. </SPAN>\n" );
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