document.write( "Question 1050725: What is the nth term of 1, -2, 4, -8,16 \n" ); document.write( "
Algebra.Com's Answer #666333 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1, -2, 4, -8,16\r\n" ); document.write( "\r\n" ); document.write( "1st term = 1 = 20\r\n" ); document.write( "2nd term = 2 = 21\r\n" ); document.write( "3rd term = 4 = 22\r\n" ); document.write( "4th term = 8 = 23\r\n" ); document.write( "5th term = 16 = 24\r\n" ); document.write( "\r\n" ); document.write( "Notice that the exponent of 2 is 1 less than\r\n" ); document.write( "the number of term.\r\n" ); document.write( "\r\n" ); document.write( "nth term = 2n-1 ignoring sign.\r\n" ); document.write( "\r\n" ); document.write( "But then you need the sign-changer factor (-1)n-1. \r\n" ); document.write( "\r\n" ); document.write( "nth term = (-1)n-12n-1\r\n" ); document.write( "\r\n" ); document.write( "an = (-1)n-12n-1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |