Question

Identify the sequence as arithmetic, geometric, or neither.

Answer 1

Answer:

Geometric

Explanation:

Given the sequence : 1.6, 0.8, 0.4, 0.2

To establish if the sequence is arithmetic or geometric ; we determine if it has a common ratio or common difference

Common difference, d are peculiar to arithmetic progression whole common ratio, r are peculiar to geometric.

Common difference, d ;

d2 - d1 = d3 - d2

0.8 - 0.6 = 0.4 - 0.8

-0.2 = - 0.4 (Hence, common difference does not hold).

Common ratio, r

r2 / r1 = r3 / r2

0.8/1.6 = 0.4 / 0.8

0.5 = 0.5

Hence, we can conclude that the sequence is geometric.