document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757444>Question 757444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the value of  x in the sequence 1/2,  x,  1/8 if the sequence4 is an arithmetic progression and a geometric progression </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460830 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "find the value of  x in the sequence 1/2,  x,  1/8 if the sequence is an arithmetic progression and a geometric progression<BR>\n" );
document.write( "--------------------------------------------------------------------<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "If the sequence is an arithmetic progression,then<BR>\n" );
document.write( "x - 1/2 = 1/8 - x<BR>\n" );
document.write( "x + x = 1/8 + 1/2<BR>\n" );
document.write( "2x = 5/8<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%2F16%29 ALIGN=MIDDLE  ALT=\"highlight%285%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the sequence is a geometric progression, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%281%2F2%29 ALIGN=MIDDLE  ALT=\"x%2F%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%2Fx ALIGN=MIDDLE  ALT=\"%281%2F8%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F16 ALIGN=MIDDLE  ALT=\"1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F16%29 ALIGN=MIDDLE  ALT=\"sqrt%281%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-1%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );