Which of the following squences are A.P.? If they are A.P. find the common difference
-10, -6, -2, 2,…

Answer

The given sequence is an A.P. The common difference `= d = 4`.

Explanation

Here, the first term `t_(1)=-10`
`t_(2)-t_(1)=-6(-10)=-6+10=4`,
`t_(3)-t_(2)=-2-(-6)-2+6=4`,
`t_(3)-t_(2)=-2(-6)-2+6=4`,
`t_(4)-t_(3)=2-(-2)=2+2=4` The difference between ant two consecutive terms is constant.