Question

Which of the following sequences are in arithmetic progression?

`1/2, 1/3 , 1/4 , 1/5, ....`

Answer 1

`1/2, 1/3 , 1/4 , 1/5, ....`

`d_1 = 1/3 - 1/2`

= `(2 - 3)/6`

= `-1/6`

`d_2 = 1/4 - 1/3`

= `(3 - 4)/12`

= `-1/12`

Since d₁ ≠ d₂, the given sequence is not in arithmetic progression.