document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46874>Question 46874</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131013653/algebrahomeworkh>COLLEGE ALGEBRA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the infinite geometric series:\r<BR>\n" );
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document.write( "1 + 1/5 + 1/25 + 1/125 + ... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31101 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of any infinite geometric series is given by<BR>\n" );
document.write( "S = a1 / (1-r)<BR>\n" );
document.write( "where a1 is the first term and r is the common ratio...<BR>\n" );
document.write( "Thus in<BR>\n" );
document.write( "1 + 1/5 + 1/25 + 1/125 + ...,<BR>\n" );
document.write( "1 is our first term and 1/5 is our ratio...thus the sum is<BR>\n" );
document.write( "s = 1 / (1-(1/5)) = 1 / (4/5) = 5/4 </SPAN>\n" );
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