document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55486>Question 55486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)The first two terms of a geometric sequence are a1=1/3 and a2=1/6. what is a8 the 8th term? \r<BR>\n" );
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document.write( "2)If x is inversely proportional to y and x =60 when y =0.5 find x when x=12\r<BR>\n" );
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document.write( "3)An infinite geometric series has 1 ad 1/5 as its first 2 terms: 1, 1/5, 1/25, 1/125,... what is the sum, S, of the infinite series?\r<BR>\n" );
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document.write( "4) if y=7.2 when x=10 what is the value of x when y =20? (y varies inversely as the square of x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37659 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=37659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)The first two terms of a geometric sequence are a1=1/3 and a2=1/6. what is a8 the 8th term?<BR>\n" );
document.write( "r=(1/6)/(1/3) = 1/2<BR>\n" );
document.write( "a(8)= ar^7 = (1/3)(1/2)^7 = 1/3*1/128= 1/384<BR>\n" );
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document.write( "2)If x is inversely proportional to y and x =60 when y =0.5 find x when x=12<BR>\n" );
document.write( "y=k/x<BR>\n" );
document.write( "0.5=k/60 <BR>\n" );
document.write( "k=30<BR>\n" );
document.write( "So y=30/x<BR>\n" );
document.write( "I assume you meant to say \"find y when x=12\".<BR>\n" );
document.write( "If so, <BR>\n" );
document.write( "y=30/12 = 5/2<BR>\n" );
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document.write( "3)An infinite geometric series has 1 ad 1/5 as its first 2 terms: 1, 1/5, 1/25, 1/125,... what is the sum, S, of the infinite series?<BR>\n" );
document.write( "What methods are you using to find the sum of an infinite series?<BR>\n" );
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document.write( "4) if y=7.2 when x=10 what is the value of x when y =20? (y varies inversely as the square of x)<BR>\n" );
document.write( "y=k/x^2<BR>\n" );
document.write( "7.2=k/(100)<BR>\n" );
document.write( "k=720<BR>\n" );
document.write( "So, y = 720/x^2<BR>\n" );
document.write( "20=720/x^2<BR>\n" );
document.write( "x^2=720/20<BR>\n" );
document.write( "x^2=36<BR>\n" );
document.write( "x=6 or x=-6<BR>\n" );
document.write( "Cheers<BR>\n" );
document.write( "Stan H.<BR>\n" );
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