document.write( "Question 696834: 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! \n" ); document.write( "
Algebra.Com's Answer #429394 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "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!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The terms represent a geometric sequence with the first term, or \"a%5B1%5D\": 4,096, r, or common ratio: \"1%2F2\", and n: the week-number that the tortoise will travel 4 m\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Geometric sequence: \"a%5Bn%5D+=+a%5B1%5Dr%5E%28n+-+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore, \"a%5Bn%5D+=+a%5B1%5Dr%5E%28n+-+1%29\" becomes: \"a%5Bn%5D+=+4096%281%2F2%29%5E%28n+-+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4+=+4096%281%2F2%29%5E%28n+-+1%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%2F4096+=+%281%2F2%29%5E%28n+-+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F1024+=+%281%2F2%29%5E%28n+-+1%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "\"log+%281%2F2%2C+%281%2F1024%29%29+=+n+-+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log+%281%2F1024%29%2Flog%281%2F2%29+=+n+-+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log+%281%2F1024%29%2Flog%281%2F2%29+=+10\", so:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10 = n - 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n = 10 + 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The tortoise will travel 4 m in week n, or week \"highlight_green%2811%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You can USE MS Excel to check!!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
\n" ); document.write( "
\n" );