document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207755>Question 207755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey,the question is_<BR>\n" );
document.write( " if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1<BR>\n" );
document.write( "find a, r, and t10   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157136 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=157136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1<BR>\n" );
document.write( "find a, r, and t10 <BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "t(4) = 8 = ar^3<BR>\n" );
document.write( "t(7) = 1 = ar^6<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Divide t(7) by t(4) to get:<BR>\n" );
document.write( "[ar^6]/[ar^3] = 1/8<BR>\n" );
document.write( "r^3 = 1/8<BR>\n" );
document.write( "r = 1/2<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Substitute into ar^3 = 8 to solve for \"a\":<BR>\n" );
document.write( "a(1/2)^3 = 8<BR>\n" );
document.write( "a(1/8) = 8<BR>\n" );
document.write( "a = 64<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "So, t(10) = ar^9 = 64(1/2)^9 = 1/8<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );