document.write( "Question 117752: 2, 6 , 18 , 54 , ....
\n" ); document.write( " In the sequence above what would be the 8th term? \n" ); document.write( "

Algebra.Com's Answer #85735 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "First find the pattern:
\n" ); document.write( "
\n" ); document.write( "The difference between $\"2\"$ and $\"6\"$ is $\"4\"$ \r
\n" ); document.write( "\n" ); document.write( "The difference between $\"6\"$ and $\"18\"$ is $\"12=+3%2A4\"$ \r
\n" ); document.write( "\n" ); document.write( "The difference between $\"18\"$ and $\"54\"$ is $\"36+=+9%2A4=3%5E2%2A4\"$
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "
\n" ); document.write( "Ratio: $\"3\"$
\n" ); document.write( "Term 0: $\"2\"$
\n" ); document.write( "General Term: $\"2%283%5Ex%29\"$ where $\"x\"$ is element of (0,1,2,3,4,5,ЕЕ)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the 8th term of the will be: $\"2%283%5E8%29+=+2%2A6561=13122\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "General Term: $\"2%283%5Ex%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"0\"$ : $\"2%283%5E0%29+=+2%2A1=2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x=1\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"1\"$ : $\"2%283%5E1%29+=+2%2A3=6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"2\"$ : $\"2%283%5E2%29+=+2%2A9+=+18\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"3\"$ : $\"2%283%5E3%29+=+2%2A27=54\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"4\"$ : $\"2%283%5E4%29+=+2%2A81=162\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "Term $\"5\"$ : $\"2%283%5E5%29+=+2%2A243=486\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x=6\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"6\"$ : $\"2%283%5E6%29+=+2%2A729=+1458\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=7\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"7\"$ : $\"2%283%5E7%29+=+2%2A2187=+4374\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=8\"$ \r
\n" ); document.write( "\n" ); document.write( "Term $\"8\"$ : $\"2%283%5E8%29+=+2%2A6561=+13122\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );