document.write( "Question 1108285: 2+4(3)^2 +.... +22(21) ^2 \n" ); document.write( "
Algebra.Com's Answer #723340 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "It is from 3 to 5 minutes work for the person who has Excel in his/(or her) computer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Alternatively, I can re-write the sum in this form\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  2 + 4(3)^2 + . . .  + 22(21)^2 = \r\n" );
document.write( "\r\n" );
document.write( "= 1 + 3^3    + . . .  + 21^3   + \r\n" );
document.write( "\r\n" );
document.write( "+ 1 + 3^2    +  . . . + 21^2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and then refer you to my lesson\r\n" );
document.write( "\r\n" );
document.write( "    - Mathematical induction for sequences other than arithmetic or geometric, Problem 1  and Problem 2\r\n" );
document.write( "\r\n" );
document.write( "in this site, where you will find the way on how to proceed further.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Since your problem is above the average school Math,  I assume that your level corresponds to the problem's level,
\n" ); document.write( "and you will be able to complete it on your own.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Good luck and happy learning ! !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );