document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093240>Question 1093240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of this infinite geometric series: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6-%286%2F2%29%2B%286%2F4%29-%286%2F8%29%2B+.+.+.+ ALIGN=MIDDLE  ALT=\"+6-%286%2F2%29%2B%286%2F4%29-%286%2F8%29%2B+.+.+.+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--This is new to me. What is involved in solving this type of problem? Any directions/tips are appreciated :)   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707861 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>In an infinite geometric series, if the common ratio r is between -1 and +1, then the series has a finite sum, given by the formula<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+a%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S+=+a%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where a is the first term and r is the common ratio.<br><BR>\n" );
document.write( "For your series, the first term is 6 and the common ratio is -1/2.  So the sum is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%281%2B1%2F2%29+=+6%2F%283%2F2%29+=+6%2A%282%2F3%29+=+4 ALIGN=MIDDLE  ALT=\"6%2F%281%2B1%2F2%29+=+6%2F%283%2F2%29+=+6%2A%282%2F3%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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