document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198172>Question 198172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is from a worksheet from K12-OHVA- My internet school.\r<BR>\n" );
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document.write( "How do I find the sum of this finite geometric series?  I will use an E for the Sigma notation.<BR>\n" );
document.write( "8<BR>\n" );
document.write( "E <-1/2)^i-1<BR>\n" );
document.write( " i=1 <BR>\n" );
document.write( "     \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148646 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=148646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the sum of this finite geometric series? I will use an E for the Sigma notation.<BR>\n" );
document.write( "8<BR>\n" );
document.write( "E <-1/2)^i-1<BR>\n" );
document.write( "i=1 <BR>\n" );
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document.write( "Write out the 8 terms and add them.<BR>\n" );
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document.write( "i = 1 gives you (-1/2)^(1-1) = (-1/2)^0 = 1<BR>\n" );
document.write( "i = 2 gives you (-1/2)^(2-1) = (-1/2)^1 = -1/2<BR>\n" );
document.write( "i = 3 gives you (-1/2)^(3-1) = (-1/2)^2 = 1/4<BR>\n" );
document.write( "i = 4 gives you................(-1/2)^3 = -1/8<BR>\n" );
document.write( "i = 5 gives you................(-1/2)^4 = 1/16<BR>\n" );
document.write( "i = 6 gives you................(-1/2)^5 = -1/32<BR>\n" );
document.write( "i = 7 gives you................(-1/2)^6 = 1/64<BR>\n" );
document.write( "i = 8 gives you................(-1/2)^7 = -1/128<BR>\n" );
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document.write( "Adding in pairs you get (1/2) + (1/8) + (1/32) + (1/128) = [64 + 16 + 4 + 1]/128<BR>\n" );
document.write( "= 85/128<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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