document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186780>Question 186780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Deanna received an e-mail asking her to forward it to 10 other people. Assume that no one breaks the chain and that there are no duplicate recipients. How many e-mails will have been sent after 8 generations, including Deanna's?<BR>\n" );
document.write( "Could you do this problem? Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140003 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem says that the 1st generation of <BR>\n" );
document.write( "e-mail senders is Deanna, who receives one <BR>\n" );
document.write( "sends emails to 10 other people<BR>\n" );
document.write( "So far I have:<BR>\n" );
document.write( "generation#  --- emails sent<BR>\n" );
document.write( "--- 1 --------------1<BR>\n" );
document.write( "--- 2 --------------10<BR>\n" );
document.write( "So far, 11 people have gotten emails<BR>\n" );
document.write( "Now each of the 10 people send 10 emails<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A10+=+100 ALIGN=MIDDLE  ALT=\"10%2A10+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So far I have:<BR>\n" );
document.write( "generation#  --- emails sent<BR>\n" );
document.write( "--- 1 --------------1<BR>\n" );
document.write( "--- 2 --------------10<BR>\n" );
document.write( "--- 3 --------------100<BR>\n" );
document.write( "So far 111 people have gotten emails<BR>\n" );
document.write( "Now, there are 100 people who are going to send<BR>\n" );
document.write( "emails to 10 other people.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A10+=+1000 ALIGN=MIDDLE  ALT=\"100%2A10+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So far I have:<BR>\n" );
document.write( "generation#  --- emails sent<BR>\n" );
document.write( "--- 1 --------------1<BR>\n" );
document.write( "--- 2 --------------10<BR>\n" );
document.write( "--- 3 --------------100<BR>\n" );
document.write( "--- 4 --------------1000<BR>\n" );
document.write( "So far, 1111 people have gotten emails<BR>\n" );
document.write( "If I carry this process to 8 generations, the 8th is:<BR>\n" );
document.write( "generation#  --- emails sent<BR>\n" );
document.write( "--- 8 --------------10000000<BR>\n" );
document.write( "and the total number of people who have gotten emails is<BR>\n" );
document.write( "11,111,111  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );