document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26075>Question 26075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10)	Use the geometric series of numbers 1, 1/2, 1/4, 1/8,…to find the following:<BR>\n" );
document.write( "a)	What is r, the ratio between 2 consecutive terms? \r<BR>\n" );
document.write( "\n" );
document.write( "b)	Using the formula for the nth term of a geometric series, what is 10th term?	 \r<BR>\n" );
document.write( "\n" );
document.write( "c)	Using the formula for the nth term of a geometric series, what is 12th term?	\r<BR>\n" );
document.write( "\n" );
document.write( "d)	What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14005 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the geometric series of numbers 1, 1/2, 1/4, 1/8,…to find the following:<BR>\n" );
document.write( "a)	What is r, the ratio between 2 consecutive terms? <BR>\n" );
document.write( "R=(1/2)/1=1/2...IT IS SAME FOR ANY 2 CONSECUTIVE TERMS...SAY<BR>\n" );
document.write( "(1/8)/(1/4)=1/2...ETC......\r<BR>\n" );
document.write( "\n" );
document.write( "b)	Using the formula for the nth term of a geometric series, what is 10th term?<BR>\n" );
document.write( "TN=A*(R)^(N-1)=1*(1/2)^(N-1)<BR>\n" );
document.write( "T10=(1/2)^(10-1)=(1/2)^9	 \r<BR>\n" );
document.write( "\n" );
document.write( "c)	Using the formula for the nth term of a geometric series, what is 12th term?	<BR>\n" );
document.write( "T12=(1/2)^11\r<BR>\n" );
document.write( "\n" );
document.write( "d)	What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?	\r<BR>\n" );
document.write( "\n" );
document.write( "THE NUMBERS TEND TO ZERO AS N INCREASES TO LARGE NUMBERS AND TOWARDS INFINITY.<BR>\n" );
document.write( "SUM OF A G.P. TO INFINITE TERMS WITH R<1 IS GIVEN BY <BR>\n" );
document.write( "A/(1-R)=1/(1-0.5)=2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );