Below is a difference table. The first column consists of the 5 numbers in the sequence. In all other columns each number in the difference between the number just left of it and the number just under the number just left of it. 8 6 6 10 54 14 12 16 64 26 28 80 54 108 162 So we put another 54 under the 54 and add the number just to the left of it and place the sum underneath the number just left of it. Do this all the way to the left column until we have extended the difference table so that the first column has one more number: 8 6 6 10 54 14 12 16 64 54 26 28 80 118 54 108 198 162 306 468 So by the method of the difference table, the next term is 468. General term:Edwin