Question

Check whether the following sequence is in A.P.

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

Answer 1

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

t₂ – t₁ = `1/3 - 1/2 = (2 - 3)/6 = (-1)/6`

t₃ – t₂ = `1/4 - 1/3 = (3 - 4)/12 = (-1)/12`

t₂ – t₁ ≠ t₃ – t₂

The sequence is not in A.P.