document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22136>Question 22136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum of the geometric series.\r<BR>\n" );
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document.write( "14 - 7 + 7/2 - 7/4 + ... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10695 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sum of GP = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%281-r%5En%29%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"%28a%281-r%5En%29%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, your series is infinite... it goes on forever. Now, if -1 < r < +1, then this formula simplifies, becoming <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%281-r%29 ALIGN=MIDDLE  ALT=\"a%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and is the sum to infinity.\r<BR>\n" );
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document.write( "To find r:<BR>\n" );
document.write( "-7/14 --> -1/2. This is the common ratio, r and it satisfies the condition mentioned above, so we have a=14 and r=-1/2\r<BR>\n" );
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document.write( "Sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F%281-%28-1%2F2%29%29 ALIGN=MIDDLE  ALT=\"14%2F%281-%28-1%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F%281%2B1%2F2%29 ALIGN=MIDDLE  ALT=\"14%2F%281%2B1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F%283%2F2%29 ALIGN=MIDDLE  ALT=\"14%2F%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which is 9 and a third.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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