document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84945>Question 84945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IS anyone able to help me? Don't have any idea what do.\r<BR>\n" );
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document.write( "Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following:<BR>\n" );
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 sum of the first n terms of a geometric sequence, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "Show work in this space.   \r<BR>\n" );
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document.write( "c) 	Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.<BR>\n" );
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document.write( "d) 	What observation can make about the successive partial sums of this sequence? In particular, what number does it appear that the sum will always be smaller than?<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 #61210 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=61210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IS anyone able to help me? Don't have any idea what do. \r<BR>\n" );
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document.write( "Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following:<BR>\n" );
document.write( "a) What is r, the ratio between 2 consecutive terms? <BR>\n" );
document.write( "To find \"r\" divide any term by the term in front of it.<BR>\n" );
document.write( "Your Problem: 1/9 / 1/3 = 3/9 = 1/3<BR>\n" );
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document.write( "b) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "Show work in this space.<BR>\n" );
document.write( "Formula: S(n) = a(1)[r^(n+1)-1]/[r-1]<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "S(10) = 1 [(1/3)^11 - 1/[(1/3)-1]<BR>\n" );
document.write( "= [-.999999]/[-2/3]<BR>\n" );
document.write( "= 1.4999999<BR>\n" );
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document.write( "c) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.\r<BR>\n" );
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document.write( "S(12) = 1[(1/3)^13 - 1]/ [(1/3) - 1]<BR>\n" );
document.write( "= -0.99999999 / (-2/3)<BR>\n" );
document.write( "= 1.4999999999<BR>\n" );
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document.write( "d) What observation can make about the successive partial sums of this sequence? In particular, what number does it appear that the sum will always be smaller than?<BR>\n" );
document.write( "Smaller than 1.5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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