The sequence is

First, determine whether there is a common difference or common ratio.

Common Difference :

Common Ratio :

Because there is no common difference or common ratio, the sequence is neither

arithmetic nor geometric.

Notice that there appears to be a pattern in which the numerator of each fraction is

increasing by and the denominator is increasing by for each successive term.

.

In the similar way the next three terms of the sequence are ;

The next three terms of the sequence are .