document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696834>Question 696834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tortoise travelled 4096 m in week one. Each week, it travelled half as far as the previous week. In what week will the tortoise travel 4 m? Please show me using a formula or equation. I know the answer because I used the calculator but I still want to know how to find the answer using a formula or equation.I'm in grade 7 can you explain, because the previous time i didnt understand. Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429382 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=429382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tortoise travelled 4096 m in week one. Each week, it travelled half as far as the previous week. In what week will the tortoise travel 4 m? Please show me using a formula or equation. I know the answer because I used the calculator but I still want to know how to find the answer using a formula or equation.<BR>\n" );
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document.write( "Look at the pattern:<BR>\n" );
document.write( "#1 term: 4096<BR>\n" );
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document.write( "#2 term: 4096(1/2) = 2048<BR>\n" );
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document.write( "#3 term: 4096(1/2)^2 = 1024<BR>\n" );
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document.write( "....<BR>\n" );
document.write( "....<BR>\n" );
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document.write( "nth term: 4096(1/2)^(n-1)<BR>\n" );
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document.write( "You want to find \"n\" when you are told the term is 4<BR>\n" );
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document.write( "Solve: 4096(1/2)^(n-1) = 4<BR>\n" );
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document.write( "Note: 4096 = 2*2*2*2*2...*2*2*2 = 2^12<BR>\n" );
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document.write( "So: (2^(12))(1/2)^(n-2) = 4<BR>\n" );
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document.write( "Then: (2^12))(2)^(2-n) = 4<BR>\n" );
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document.write( "2^(14-n) = 2^2<BR>\n" );
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document.write( "14-n = 2<BR>\n" );
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document.write( "n = 12<BR>\n" );
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document.write( "4 is the 12th term of the sequence.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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