document.write( "Question 176909: for the sequence, describe the pattern, write the next term, and write a rule for the nth term. ( the x's are 1,2,3,4,5)\r
\n" ); document.write( "\n" ); document.write( "1) 3, 1, -1, -3, .....\r
\n" ); document.write( "\n" ); document.write( "2) -3, -24, -81, -192, .....
\n" ); document.write( "

Algebra.Com's Answer #132067 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1) Looks like you subtract 2 from the previous term to get the next term.
\n" ); document.write( "Or start at 3 and subtract 2 at each successive term.
\n" ); document.write( "\"a%5B1%5D=3-2%281-1%29=3\"
\n" ); document.write( "\"a%5B2%5D=3-2%282-1%29=3-2=1\"
\n" ); document.write( "\"a%5B3%5D=3-2%283-1%29=3-4=-1\"
\n" ); document.write( "\"a%5B4%5D=3-2%284-1%29=3-6=-3\"
\n" ); document.write( "\"a%5B5%5D=3-2%285-1%29=3-8=-5\"
\n" ); document.write( "-5 would be the next term.
\n" ); document.write( "\"a%5Bn%5D=3-2%28n-1%29=3-2n%2B2=5-2n\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "2) Looks like each term is a product of the cubes with (-3)
\n" ); document.write( "\"a%5B1%5D=%28-3%29%2A%281%29%5E3=-3\"
\n" ); document.write( "\"a%5B2%5D=%28-3%29%2A%282%29%5E3=-24\"
\n" ); document.write( "\"a%5B3%5D=%28-3%29%2A%283%29%5E3=-81\"
\n" ); document.write( "\"a%5B4%5D=%28-3%29%2A%284%29%5E3=-192\"
\n" ); document.write( "\"a%5B5%5D=%28-3%29%2A%285%29%5E3=-375\"
\n" ); document.write( "\"a%5Bn%5D=%28-3%29%2An%5E3\"
\n" ); document.write( "-375 would be the next term.
\n" ); document.write( "\"a%5Bn%5D=%28-3%29%2An%5E3\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );