document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190095>Question 1190095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Topics In Contemporary Math<BR>\n" );
document.write( " Exponential Growth\r<BR>\n" );
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document.write( "2) Which would you rather have, one million dollars or the amount of money you would get <BR>\n" );
document.write( "if a penny was doubled every day for a (30-day) month? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821667 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The sequence of penny amounts is:<BR>\n" );
document.write( "1,2,4,8,...<BR>\n" );
document.write( "which is a geometric sequence with the following properties<BR>\n" );
document.write( "a = 1 = first term<BR>\n" );
document.write( "r = 2 = common ratio\r<BR>\n" );
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document.write( "Compute the sum of the first n = 30 terms to get<BR>\n" );
document.write( "Sn = a*(1-r^n)/(1-r)<BR>\n" );
document.write( "S30 = 1*(1-2^30)/(1-2)<BR>\n" );
document.write( "S30 = 1,073,741,823\r<BR>\n" );
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document.write( "Over the course of 30 days, you would get 1,073,741,823 pennies\r<BR>\n" );
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document.write( "This converts to (1,073,741,823)/100 = $10,737,418.23 which is 10.7 million dollars approximately\r<BR>\n" );
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document.write( " </SPAN>\n" );
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