document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450317>Question 450317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the geometric series:<BR>\n" );
document.write( "8+2+1/2+1/8+...<BR>\n" );
document.write( "find S1,S2,S3,S4 and S5. I alread found that S1=8, S2=10, S3=10 1/2, but I need S4 and S5. I also need to use these sums to approximate S. Then I need to use the Infinite Geometric Series formula, which is S=S1/r-1, to find S.<BR>\n" );
document.write( "S1= 8, because its the first number in the series<BR>\n" );
document.write( "R= the common ratio, which I don't know<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310201 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B4%5D+=+10%261%2F2+%2B+1%2F8+=+85%2F8 ALIGN=MIDDLE  ALT=\"S%5B4%5D+=+10%261%2F2+%2B+1%2F8+=+85%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B5%5D+=+85%2F8+%2B+1%2F32+=+341%2F32 ALIGN=MIDDLE  ALT=\"S%5B5%5D+=+85%2F8+%2B+1%2F32+=+341%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The formula for the sum of an infinite geometric series is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+s%5B1%5D%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S+=+s%5B1%5D%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where -1 < r <1.  Here r = 1/4.  Hence <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+8%2F%281-1%2F4%29+=+8%2F%283%2F4%29+=+32%2F3 ALIGN=MIDDLE  ALT=\"S+=+8%2F%281-1%2F4%29+=+8%2F%283%2F4%29+=+32%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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