document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36552>Question 36552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a geometric series is 57232. The common ratio is 2 and the last term is 28672. What is the first term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22483 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of a geometric series is 57232. The common ratio is 2 and the last term is 28672. What is the first term?<BR>\n" );
document.write( "FORMULA FOR N TH TERM IS ....<BR>\n" );
document.write( "TN=A*R^(N-1)..HENCE<BR>\n" );
document.write( "28672=A*2^(N-1).......................I<BR>\n" );
document.write( "FORMULA FOR SUM IS <BR>\n" );
document.write( "SN=A*{R^N - 1 }/(R-1)...HENCE	<BR>\n" );
document.write( "57232 = A*(2^N-1)/(2-1)=A*(2^N-1)....................II	<BR>\n" );
document.write( "EQN.II/EQN.I...	<BR>\n" );
document.write( "57232/28672=A*(2^N -1)/{A*2^(N-1)}=(2^N -1)/2^(N-1)	<BR>\n" );
document.write( "57232/28672=2^N/2^(N-1) - 1/2^(N-1)=2-1/2^(N-1)	<BR>\n" );
document.write( "1/2^(N-1)=2-57232/28672=(57344-57232)/28672=112/28672	<BR>\n" );
document.write( "2^(N-1)=28672/112=256=2^7	<BR>\n" );
document.write( "N-1=7….OR……N=8…SUBSTITUTING IN EQN.I…	<BR>\n" );
document.write( "28672=A*2^(8-1)=256A…..OR…..A = 28672/256=112 </SPAN>\n" );
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