identify the sequence is arithmetic, geometric or neither. explain your answer

1.6,0.8,0.4,0.2

This sequence is a geometric sequence because each term is being divided by 2 to get the next term.

To show this more clearly:
0.8 / 1.6 = 0.5
0.4 / 0.8 = 0.5
0.2 / 0.4 = 0.5

Since there is a common ratio of 0.5 between each term, this makes the sequence geometric.