document.write( "Question 1181078: find the common ratio, explicit formula, and the recursive formula\r
\n" ); document.write( "\n" ); document.write( "a4 = -1/4 and a1 = 2
\n" ); document.write( "

Algebra.Com's Answer #810893 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "find the common ratio, explicit formula, and the recursive formula
\n" ); document.write( "a4 = -1/4 and a1 = 2
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "    \"a%5B4%5D\" = \"a%5B1%5D%2Ar%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"-1%2F4\" = \"2%2Ar%5E3\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"r%5E3\" = \"%28%28-1%2F4%29%29%2F2\" = \"-1%2F8\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    r = \"root%283%2C-1%2F8%29\" = \"-1%2F2\".    (the common ratio).             ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Recursive formula  \"a%5Bn%2B1%5D\" = \"%28-1%2F2%29%2Aa%5Bn%5D\".                    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Explicit formula   \"a%5Bn%5D\" = \"2%2A%28-1%2F2%29%5E%28n-1%29\" = \"%28-1%29%5E%28n-1%29%2F2%5E%28n-2%29\".     ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );