The odd numbered terms go 2, 3, 4, 5, 6, 7, ... add 1 each time The even numbered terms go 7, 26, 45, 64, 83, 102, ... add 19 each time. So the next term after 4 is 45. [It could also be 7+26 which is 33, instead of 45.] There are thousands of other possible answers, too, but these are as good as any, and they're simple. I cannot understand why schools are teaching such problems as this, as if there were only one answer, when there are many. Edwin