Answer

To determine if the sequence is arithmetic, look at the differences between successive terms. Since all the terms are 5, all the differences are

5 – 5 = 0.

The sequence is arithmetic with d = 0.

To determine if the sequence is geometric, look at the ratios between successive terms. Since all the terms are 5, all the ratios are

The sequence is geometric with r = 1.

This sequence is both arithmetic and geometric.