document.write( "Question 1170500: Write the general terms of the following sequence:
\n" ); document.write( " 𝑌=(0,9,26,65,.........)
\n" ); document.write( "

Algebra.Com's Answer #795368 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The numbers in the sequence \r\n" );
document.write( "\r\n" );
document.write( "0,9,26,65\r\n" );
document.write( "\r\n" );
document.write( "are close to the numbers in the sequence of cubes:\r\n" );
document.write( "\r\n" );
document.write( "1,8,27,64, which is\r\n" );
document.write( "\r\n" );
document.write( "1³,2³,3³,4³\r\n" );
document.write( "\r\n" );
document.write( " 0 =  1-1 = 1³-1   <-- 1st term\r\n" );
document.write( " 9 =  8+1 = 2³+1   <-- 2nd term\r\n" );
document.write( "26 = 27-1 = 3³-1   <-- 3rd term\r\n" );
document.write( "65 = 64+1 = 4³+1   <-- 4th term\r\n" );
document.write( "\r\n" );
document.write( "So the nth term will begin with n³\r\n" );
document.write( "If n is even we will add 1\r\n" );
document.write( "If n is odd we will add -1\r\n" );
document.write( "So regardless, we add (-1)n\r\n" );
document.write( "\r\n" );
document.write( "The general term is\r\n" );
document.write( "\r\n" );
document.write( "\"a%5Bn%5D=n%5E3%2B%28-1%29%5En\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );