document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149502>Question 149502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation for this problem. A man has a job for thirty days, he will be paid 1 penny for the first day, 2 pennies for the second day, 4 pennies for the third day, and so on. What is the equation that would give the total amount of pennies for the 30th day?<BR>\n" );
document.write( " this is not in the text book I have.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109683 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=109683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is actually a geometric sum or series.<BR>\n" );
document.write( "S = a1(1 - r^n)/(1 - r)<BR>\n" );
document.write( "S: sum, a1: first term, r: rate, n: # of terms\r<BR>\n" );
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document.write( "A man has a job for thirty days, he will be paid 1 penny for the first day, 2 pennies for the second day, 4 pennies for the third day, and so on. What is the equation that would give the total amount of pennies for the 30th day?\r<BR>\n" );
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document.write( "1 + 2 + 4 + 8 + ... a1 * r^(n - 1) or 2^(n - 1)<BR>\n" );
document.write( "a1 = 1, r = 2, n = 30\r<BR>\n" );
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document.write( "S = (1 - 2^30)/(1 - 2) = 1,073,741,823 pennies or $10,737,418.23 </SPAN>\n" );
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