document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826124>Question 826124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497873 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=497873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term<BR>\n" );
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document.write( "2nd term:: ar = 1/2<BR>\n" );
document.write( "7th term:: ar^6 = 1/64<BR>\n" );
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document.write( "Divide to solve for \"r\":<BR>\n" );
document.write( "r^5 = 2^-5<BR>\n" );
document.write( "r = 2^-1<BR>\n" );
document.write( "r = 1/2<BR>\n" );
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document.write( "Solve for \"a\"<BR>\n" );
document.write( "ar = 1/2<BR>\n" );
document.write( "a(1/2) = 1/2<BR>\n" );
document.write( "a = 1<BR>\n" );
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document.write( "Ans: a(n) = (1/2)^(n-1)<BR>\n" );
document.write( "So, a(10) = (1/2)^9 = 1/512<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
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