document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59091>Question 59091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:<BR>\n" );
document.write( "a) 	What is r, the ratio between 2 consecutive terms? <BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "You can this r easily by taking the ratios <BR>\n" );
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document.write( "b) 	Using the formula for the nth term of a geometric sequence, what is the 10th term?<BR>\n" );
document.write( "Answer:  <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" );
document.write( "Answer:  <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 #40523 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:<BR>\n" );
document.write( "a) 	What is r, the ratio between 2 consecutive terms? <BR>\n" );
document.write( "Answer: r=3 <BR>\n" );
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document.write( "r=a2/a1=a3/a2=a4/a3  they all have the same ratio.<BR>\n" );
document.write( "r=3/1=9/3=27/3=3 <BR>\n" );
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document.write( "b) 	Using the formula for the nth term of a geometric sequence, what is the 10th term?<BR>\n" );
document.write( "Answer:  a10=19683<BR>\n" );
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document.write( "an=a1*r^(n-1)<BR>\n" );
document.write( "a10=1(3)^(10-1)<BR>\n" );
document.write( "a10=3^9<BR>\n" );
document.write( "a10=19683\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" );
document.write( "Answer:  S10=29524<BR>\n" );
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document.write( "Sn=a1(1-r^n)/(1-r)<BR>\n" );
document.write( "S10=1(1-3^10)/(1-3)<BR>\n" );
document.write( "S10=(1-59049)/-2<BR>\n" );
document.write( "S10=-59048/-2<BR>\n" );
document.write( "S10=29524<BR>\n" );
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document.write( "Happy Calculating!!!\r<BR>\n" );
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