document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387760>Question 387760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the infinite geometric series, if possible.<BR>\n" );
document.write( "  140 + 70 + 35 + . . . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274141 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140+%2B+70+%2B+35+%2B+..... ALIGN=MIDDLE  ALT=\"140+%2B+70+%2B+35+%2B+.....\"   DISABLED_style= \"max-width:90%; height:auto;\" >............since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70=%281%2F2%29140 ALIGN=MIDDLE  ALT=\"70=%281%2F2%29140\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=%281%2F4%29140 ALIGN=MIDDLE  ALT=\"35=%281%2F4%29140\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will have:\r<BR>\n" );
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document.write( "=140(1+1/2+1/4+....+)\r<BR>\n" );
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document.write( "= 140 * Sum [(1/2)^n] (n -> infinity)\r<BR>\n" );
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document.write( "= 140 * 1/(1 - 1/2).........(Property of infinite geometric series for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+r+%3C+1%29 ALIGN=MIDDLE  ALT=\"0+%3C+r+%3C+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= 140 * 2\r<BR>\n" );
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document.write( "= 280 </SPAN>\n" );
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