document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88472>Question 88472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the sum of the first 15 terms in the geometric sequence 2, 4, 8?<BR>\n" );
document.write( "sometimes i got 65534 and sometimes i got 65536, im doing something wrong lol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64323 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=64323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is 65,534<BR>\n" );
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document.write( "The sum of the terms in a geometric sequence (S) is given by the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+a%281-r%5En%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S+=+a%281-r%5En%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "in which a is the first term, r is the ratio between terms, and n is the number of terms.<BR>\n" );
document.write( "In this problem a = 2, r = 2, and n = 15. Substituting these values into the equation<BR>\n" );
document.write( "leads to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+2%281-2%5E15%29%2F%281-2%29 ALIGN=MIDDLE  ALT=\"S+=+2%281-2%5E15%29%2F%281-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A calculator will tell you that 2^15 = 32,768. Substituting this into the equation results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+2%281-32768%29%2F%281-2%29 ALIGN=MIDDLE  ALT=\"S+=+2%281-32768%29%2F%281-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify the terms that are inside the parentheses to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+2%28-32767%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"S+=+2%28-32767%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the multiplication in the numerator:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+-65534%2F-1 ALIGN=MIDDLE  ALT=\"S+=+-65534%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and the division by -1 results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+65534 ALIGN=MIDDLE  ALT=\"S+=+65534\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you see how to use the equation for the sum of the terms in a geometric<BR>\n" );
document.write( "progression. </SPAN>\n" );
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