document.write( "Question 419106: 2,8,18,32,50 find the formula for the nth term \n" ); document.write( "
Algebra.Com's Answer #293176 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula that i came up with is this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a[n] = 6 + 6*n + (sum(4*(n-1)) from n = 0 to n = n)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it works like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a[0] = 6 + 0 + (-4) = 2 \n" ); document.write( "a[1] = 6 + 6 + (-4 + 0) = 8 \n" ); document.write( "a[2] = 6 + 12 + (-4 + 0 + 4) = 18 \n" ); document.write( "a[3] = 6 + 18 + (-4 + 0 + 4 + 8) = 32 \n" ); document.write( "a[4] = 6 + 24 + (-4 + 0 + 4 + 8 + 12) = 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it works for all of the numbers listed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n has to be greater than or equal to 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when n = 0, 4 * (n-1) becomes 4 * (-1) = -4 \n" ); document.write( "when n = 1, 4 * (n-1) becomes 4 * (0) = 0 \n" ); document.write( "when n = 2, 4 * (n-1) becomes 4 * (1) = 4 \n" ); document.write( "when n = 3, 4 * (n-1) becomes 4 * (2) = 8 \n" ); document.write( "when n = 4, 4 * (n-1) becomes 4 * (3) = 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |