document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751737>Question 751737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A side of an equilateral triangle is 10 cm. the midpoints of its sides are joined to form an inscribed equilateral triangle, and this process is continued. Find the sum of the perimeters of the triangles if the process is continued without end. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457378 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=457378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perimeter of first triangle: 30 cm<BR>\n" );
document.write( "second triangle: 15 cm<BR>\n" );
document.write( "third triangle: 7.5 cm<BR>\n" );
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document.write( "nth triangle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%280.5%29%5E%28n+-+1%29 ALIGN=MIDDLE  ALT=\"30%280.5%29%5E%28n+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...\r<BR>\n" );
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document.write( "The sum of an infinite geometric series with first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and common ratio r is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D%2F%281+-+r%29 ALIGN=MIDDLE  ALT=\"a%5B1%5D%2F%281+-+r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > provided |r| < 1. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%2830%280.5%29%5E%28n+-+1%29%2C+n=+1%2C+infinity%29 ALIGN=MIDDLE  ALT=\"sum%2830%280.5%29%5E%28n+-+1%29%2C+n=+1%2C+infinity%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F%281+-+0.5%29 ALIGN=MIDDLE  ALT=\"30%2F%281+-+0.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2860%29 ALIGN=MIDDLE  ALT=\"highlight%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm. </SPAN>\n" );
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