document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33873>Question 33873</A>: <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( "a)What is r, the ratio between 2 consecutive terms? \r<BR>\n" );
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document.write( "b)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( "c)Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? <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 #20276 by </B><A HREF=/tutors/aboutme.mpl?userid=sarah_adam><B>sarah_adam(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sarah_adam><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=20276\">put this solution on YOUR website!</A><BR><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( "a)What is r, the ratio between 2 consecutive terms? \r<BR>\n" );
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document.write( "r = 4/2 = 2 \r<BR>\n" );
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document.write( "b)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( "General term of a G. P.<BR>\n" );
document.write( " Tn = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%28r%5En-1%29 ALIGN=MIDDLE  ALT=\"+a+%28r%5En-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 1, r = 2 ,n = 24\r<BR>\n" );
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document.write( "T 24 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%282%5E%2824-1%29%29 ALIGN=MIDDLE  ALT=\"1%282%5E%2824-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T 24 =<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;\" >\r<BR>\n" );
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document.write( "c)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( "S n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281-r%5En%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"a%281-r%5En%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Sum of first 10 terms:\r<BR>\n" );
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document.write( "S10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%281-2%5E10%29%2F%281-2%29 ALIGN=MIDDLE  ALT=\"1%281-2%5E10%29%2F%281-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S 10 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-2%5E10%29%2F-1 ALIGN=MIDDLE  ALT=\"%281-2%5E10%29%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S 10 = 1023\r<BR>\n" );
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