Question

Is the following sequences are A.P.? If is A.P. find the common difference.

`-1/5, -1/5, -1/5,...`

Answer 1

`-1/5, -1/5, -1/5,...`

Here, `t_1=-1/5,t_2=-1/5,t_3-1/5`

t₂ - t₁ = `-1/5-(-1/5)=-1/5+1/5=0`

t₃ - t₂ = `-1/5-(-1/5)=-1/5+1/5=0`

The difference between two consecutive terms is constant.

Hence, the given sequence is an A.P. and the common difference (d) is 0.