document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191493>Question 1191493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of the infinite series whose nth term is:<BR>\n" );
document.write( "(7^(n-1)) / (10^n) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823271 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Plugging in n=1, 2, 3... shows the first few terms to be<br><BR>\n" );
document.write( "1/10, 7/100, 49/1000, ...<br><BR>\n" );
document.write( "This is an infinite geometric sequence with first term 1/10 and common ratio 7/10.<br><BR>\n" );
document.write( "The sum of an infinite geometric sequence with first term a and common ratio r is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%281-r%29 ALIGN=MIDDLE  ALT=\"a%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "For this example, the sum is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F10%29%2F%281-7%2F10%29+=+%281%2F10%29%2F%283%2F10%29+=+1%2F3 ALIGN=MIDDLE  ALT=\"%281%2F10%29%2F%281-7%2F10%29+=+%281%2F10%29%2F%283%2F10%29+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 1/3<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );