There is a pattern of 0,125; 0,25; 0,375; 0,5; and I have to add the next six numbers and identify the pattern.

Answer 1

n = 1

a1 = 0.125 = 0.125 ∙ 1

n = 2

a2 = 0.25 = 0.125 ∙ 2

n = 3

a3 = 0.375 = 0.125 ∙ 3

n = 4

a4 = 0.5 = 0.125 ∙ 4

So:

an = 0.125 n

Next six numbers:

a5 = 0.125 ∙ 5 = 0.625

a6 = 0.125 ∙ 6 = 0.75

a7 = 0.125 ∙ 7 = 0.875

a8 = 0.125 ∙ 8 = 1

a9 = 0.125 ∙ 8 = 1.125

a10 = 0.125 ∙ 10 = 1.25

Answer 2

maybe fractions would make things clearer:
1/8, 2/8, 3/8, 4/8, ...