document.write( "Question 1090420: Relation between series 1,-3,5,-7,9... \n" ); document.write( "
Algebra.Com's Answer #704836 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "It's the sequence of odd numbers with alternating signs.\r\n" ); document.write( "\r\n" ); document.write( "The sequence of positive odd integers 1,3,5,7,9,... has general\r\n" ); document.write( "term 2n-1 (one less than the general term for the even integers, 2n)\r\n" ); document.write( "\r\n" ); document.write( "To cause the signs to alternate, beginning with the first term being\r\n" ); document.write( "positive, we must multiply by the factor (-1)n+1. So the \r\n" ); document.write( "general term is\r\n" ); document.write( "\r\n" ); document.write( "tn = (-1)n+1(2n-1)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |