Arithmetic....the common difference between terms is 10 - 1 = 9
So
1, 10, 19, 28
Geometric...the common ratio between terms = 2nd term / 1st term = 10 / 1 = 10
So....each successive term is 10 times the previous one
So
1, 10, 100, 1000
Neither
1, 10, 13, 15
We have no common difference or common rato