document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185522>Question 1185522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the missing term in harmonic sequence. Show the solution\r<BR>\n" );
document.write( "\n" );
document.write( "___,1/2,2/5,1/3,___ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817051 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=817051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "If the numbers a, 1/2, 2/5, 1/3, b are in harmonic progression, then their reciprocals are in arithmetic progression, i.e., \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/a, 2, 5/2, 3, 1/b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "are in AP.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It is quite clear that 1/a = 3/2 and 1/b = 7/2.  (The common difference is 1/2.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===> a = 2/3  and  b = 2/7. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );