Which of the following squences are A.P.? If they are A.P. find the common difference
-`1/5, - 1/5, -1/5,`…

Answer

The given sequence is an A.P. The common difference `= d = 0.`

Explanation

Here, the first term `t_(1)=-(1)/(5)`,
`t_(2)-t_(1)=-(5)/(1)-(-(1)/(5))=-(1)/(5)+(1)/(5)=0`,
`t_(3)-t_(2)=-(1)/(5)-(-(1)/(5))=-(1)/(5)+(1)/(5)=0.`
The difference between any two consecutive terms is constant.