Question

0.2.0.4, 0.6, 0.8, 1....
Arithmetic or geometric

Answer 1

Arithmetic sequences have a common difference between consecutive terms.

Geometric sequences have a common ratio between consecutive terms.

Let's compute the differences and ratios between consecutive terms:

Differences:

`0.4-0.2 = 0.2,\quad 0.6-0.4=0.2,\quad 0.8-0.6=0.2,\quad 1-0.8=0.2`

Ratios:

`(0.4)/(0.2)=2,\quad (0.6)/(0.4) = 1.5,\quad (0.8)/(0.6) = 1.33\ldots, \quad(1)/(0.8)=1.25`

So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.

So, this is an arithmetic sequence.