document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043665>Question 1043665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 20th term of a HP.of which the first two terms are 2/39 and 2/37 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658930 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=658930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A harmonic progression is a sequence of quantities whose reciprocals are in arithmetic progression.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B1%5D+=+2%2F39 ALIGN=MIDDLE  ALT=\"h%5B1%5D+=+2%2F39\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B2%5D+=+2%2F37 ALIGN=MIDDLE  ALT=\"h%5B2%5D+=+2%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  it follows that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+39%2F2 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+39%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D+=+37%2F2 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+37%2F2+-+39%2F2+=+-2%2F2+=+-1 ALIGN=MIDDLE  ALT=\"d+=+37%2F2+-+39%2F2+=+-2%2F2+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B20%5D+=+a%5B1%5D+%2B+%2820-1%29%2A-1+=+39%2F2+%2B+19%2A-1+=+1%2F2 ALIGN=MIDDLE  ALT=\"a%5B20%5D+=+a%5B1%5D+%2B+%2820-1%29%2A-1+=+39%2F2+%2B+19%2A-1+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the twentieth term of the harmonic progression is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B20%5D+=+2 ALIGN=MIDDLE  ALT=\"h%5B20%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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