document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59350>Question 59350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello tutors could someone help with these word problems thanks Tine!\r<BR>\n" );
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document.write( "2) 	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( "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 #41232 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2) 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: 3<BR>\n" );
document.write( "Show work in this space. <BR>\n" );
document.write( "To find the ratio, divide consecutive numbers, such as:<BR>\n" );
document.write( "3/1=3<BR>\n" );
document.write( "9/3=3<BR>\n" );
document.write( "27=3, therefore the ratio = 3\r<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: 19683<BR>\n" );
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document.write( "Use the formula an=(a1)r^(n-1)<BR>\n" );
document.write( "an=the nth term you are looking for<BR>\n" );
document.write( "a1=the value of the first term<BR>\n" );
document.write( "r=the ration<BR>\n" );
document.write( "n=the number of the term you are looking for<BR>\n" );
document.write( "So, to find the 10th term, plug-in the values:<BR>\n" );
document.write( "a(10th term)=(1)(3)^(10-1)=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: 29,524 <BR>\n" );
document.write( "Sn=a1(1-r^n) /(1-r)<BR>\n" );
document.write( "Sn=the sum of the first nth terms<BR>\n" );
document.write( "a1=the value of the first term<BR>\n" );
document.write( "r=the ratio<BR>\n" );
document.write( "n=the number of the term<BR>\n" );
document.write( "S(sum of the 10th term)=(1)((1-3^10) / (1-3)<BR>\n" );
document.write( "S(10th)=29,524\r<BR>\n" );
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