document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34410>Question 34410</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:\r<BR>\n" );
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document.write( "1. What is r, the ratio between 2 consecutive terms? <BR>\n" );
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document.write( "2. Using the formula for the nth term of a geometric sequence, what is the 24th term?\r<BR>\n" );
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document.write( "3. Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? \r<BR>\n" );
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document.write( "All help is greatly appreicated!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20700 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=20700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a geometric sequence is one that has a common factor (ie a multiplier) between terms. Just looking at the sequence... start at 1. What do we multiply it by to get to next number, 2. Answer is 2... r=2.\r<BR>\n" );
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document.write( "If you have a more awkward sequence, then divide one term by the previous one: 8/4 is 2. 4/2 is 2. 2/1 is 2 etc.\r<BR>\n" );
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document.write( "24th term:<BR>\n" );
document.write( "1st term is a<BR>\n" );
document.write( "2nd term is ar<BR>\n" );
document.write( "3rd term is ar^2<BR>\n" );
document.write( "4th term is ar^3<BR>\n" );
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document.write( "24th term is ar^23\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ar%5E23+ ALIGN=MIDDLE  ALT=\"+ar%5E23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%29%282%29%5E23+ ALIGN=MIDDLE  ALT=\"+%281%29%282%29%5E23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E23+ ALIGN=MIDDLE  ALT=\"+2%5E23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "work it out yourself :-)\r<BR>\n" );
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document.write( "sum of 10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%28r%5E%28n%29-1%29%29%2F%28r-1%29+ ALIGN=MIDDLE  ALT=\"+%28a%28r%5E%28n%29-1%29%29%2F%28r-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sum of 10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%281%29%282%5E%2810%29-1%29%29%2F%282-1%29+ ALIGN=MIDDLE  ALT=\"+%28%281%29%282%5E%2810%29-1%29%29%2F%282-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sum of 10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%5E%2810%29-1%29%2F%281%29+ ALIGN=MIDDLE  ALT=\"+%282%5E%2810%29-1%29%2F%281%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sum of 10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1024-1+ ALIGN=MIDDLE  ALT=\"+1024-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sum of 10 = 1023\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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