Put them in a column 1 4 20 168 Subtract each number from the one below it and write it out to the side in a new column: 1 3 4 16 20 148 168 In the 2nd column subtract each number from the one below it and write it out to the side in a new column: 1 3 13 4 16 132 20 148 168 In the 3rd column subtract each (the only) number from the one below it (the only one below it) and write it out to the side in a new column: 1 3 13 119 4 16 132 20 148 168 Now that we have completed the difference table, write another 119 underneath the last number 119 1 3 13 119 4 16 132 119 20 148 168 Add the 119 and the 132, getting 251, and write that underneath the 132 1 3 13 119 4 16 132 119 20 148 251 168 Add the 251 and the 148, getting 399, and write that underneath the 148: 1 3 13 119 4 16 132 119 20 148 251 168 399 Finally, add the 399 and the 168, getting 567, and write that underneath the 168: 1 3 13 119 4 16 132 119 20 148 251 168 399 567 Answer: fifth term = 567 -------------------------------------------- There is a way to get the nth term formula:Substitute n=1 = = = 1 Substitute n=2 = = = 4 Substitute n=3 = = = 20 Substitute n=4 = = = 168 Substitute n=5 = = = 567 Edwin