Question

How do you tell whether the sequence `1, 1 1/6, 1 1/3, 1 1/2` is arithmetic and if it is, what is the common difference?

Answer 1

`color(blue)("Hence it's an Arithmetic Sequence with c.d. = " d = 1/6`

Explanation:

`a = 1, a_2 = 1(1/6), a_3 = 1(1/3), a_4 = 1(1/2), . . .`

`"Common Difference " d = a_2 - a = 1(1/6) - 1 = (1/6)`

`d = a_3 - a_2 = 1(1/3) - 1(1/6) = 1/6`

`d = a_4 - a_3 = 1(1/2) - 1(1/3) = 1/6`

`color(blue)("Hence it's an Arithmetic Sequence with c.d. = " d = 1/6`